What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value)

${22.02}^2+\frac{1}{9}\text{ of }44=?-45.09\%\text{ of }100.9$

To find the approximate value of the given expression, we can round each number to its nearest simple integer value to make calculations easier:

The given equation is:
${22.02}^2+\frac{1}{9}\text{of}44=?-45.09\%\text{of}100.9$

Let us approximate each term step-by-step:

1. Approximate ${22.02}^2$:
${22.02}^2\approx {22}^2=484$

2. Approximate $\frac{1}{9}\text{of}44$:
Since 44 is very close to 45, we can round 44 to 45:
$\frac{1}{9}\times 44\approx \frac{1}{9}\times 45=5$

3. Approximate $45.09\%\text{of}100.9$:
We can round 45.09% to 45% and 100.9 to 100:
$45\%\text{of}100=\frac{45}{100}\times 100=45$

Now, substitute these approximate values back into the original equation:
$484+5\approx ?-45$

Simplify the left side of the equation:
$489\approx ?-45$

Solve for the question mark (?):
$?\approx 489+45$
$?\approx 534$

Therefore, the approximate value that will come in place of the question mark is 534.