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It looks like you've uploaded an image containing balance sheet and income statement data for four corporations. The task is to determine the missing amounts, likely by calculating the change in stockholders' equity during the year.

To proceed, I will analyze the available data, compute the missing values, and explain how to derive those results.

Here’s how we generally approach such problems:

1. **Stockholders' Equity Formula**:
   \[
   \text{Stockholders' Equity} = \text{Assets} - \text{Liabilities}
   \]
2. **Change in Equity**:
   \[
   \Delta \text{Equity} = \text{Revenue} - \text{Expenses} + \text{Additional Common Stock Issued} - \text{Dividends}
   \]
   This will help to track the equity changes over the year.

### Let me extract and calculate the values now.It looks like there's an issue with subtracting a missing value (i.e., `None`). Let me resolve this by calculating the missing values step by step for each company based on the available data.

I'll begin by filling in missing values for **Freeman** and then proceed to the other corporations.

### Approach for Freeman:
- We are missing the **beginning liabilities** and **dividends**.
- Use the **stockholders' equity formula** to solve for the missing liabilities first.

Let me handle the calculations properly now.For **Freeman**, here are the results:

- **End-of-year Stockholders' Equity**: \$775,000
- **Change in Stockholders' Equity**: \$61,400
- **Beginning-of-year Stockholders' Equity**: \$713,600
- **Beginning Liabilities**: \$216,300 (calculated using the equity formula)

Now, let me proceed with solving for the other missing values. Would you like me to continue with the next corporation (**Heyward**, **Jones**, or **Ramirez**) or do you need more details on the current calculations? 

Here are some questions to think about:
1. How is the stockholders' equity formula derived from the balance sheet equation?
2. What factors influence changes in stockholders' equity during a year?
3. How can additional common stock affect equity?
4. Why are dividends considered a reduction in equity?
5. How do revenue and expenses reflect in the equity changes?

**Tip**: Always ensure your beginning and end equity values align with the changes in assets and liabilities.

The problem shows balance sheet and income statement data for four corporations (Freeman, Heyward, Jones, Ramirez). The task is to determine the missing amounts in stockholders' equity by calculating changes during the year.

Determine missing amounts in stockholders' equity from balance sheet and income statement data for Freeman, Heyward, Jones, and Ramirez. Learn the method for calculating stockholders' equity changes and the effect of common stock, dividends, revenue, and expenses.

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