Given the values:

• $f = 0.042404$
• $m = 1.45$
• $g = 4409.35$

We can use the formula derived earlier to calculate $z$: $z = \frac{g \times 100}{f \times (100 - m)}$

Substitute the given values into the formula: $z = \frac{4409.35 \times 100}{0.042404 \times (100 - 1.45)}$

First, calculate the denominator: $100 - 1.45 = 98.55$ $0.042404 \times 98.55 = 4.1792262$

Now, calculate the numerator: $4409.35 \times 100 = 440935$

Finally, divide the numerator by the denominator: $z = \frac{440935}{4.1792262} \approx 105472.4$

So, the value of $z$ is approximately $105472.4$.

Would you like further details or have any questions?

Here are some related questions that might interest you:

1. How does the value of $z$ change if $f$ is slightly increased or decreased?
2. What is the significance of the value $z$ in a practical context?
3. Can you derive a similar formula if $m$ is a function of $z$ instead?
4. What steps can you take to ensure the accuracy of these calculations in a different scenario?
5. How would rounding off the values of $f$, $m$, and $g$ affect the result?
6. Can you use logarithms to simplify any part of this equation?
7. What mathematical principles underlie the steps taken to isolate $z$?
8. How can you verify the calculated value of $z$ through a different method?

Tip: When working with decimals in calculations, maintain precision by using as many significant digits as possible until the final result.