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Finding the Fourth Proportional to 693,048.24, 957,342.68 and 522,257.22

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Solution

The fourth proportional to 693,048.24, 957,342.68 and 522,257.22 is: 721,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,048.24 : 957,342.68 = 522,257.22 : x
  2. Step 2: Convert to fraction form
    693,048.24/957,342.68 = 522,257.22/x
  3. Step 3: Cross multiply
    693,048.24x = 957,342.68 × 522,257.22
  4. Step 4: Simplify right side
    693,048.24x = 499,979,126,644.15
  5. Step 5: Solve for x
    x = 499,979,126,644.15/693,048.24
  6. Step 6: Final answer
    x = 721,420.38

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Half scale
Find fourth proportional to 1,386,096.48, 1,914,685.36 and 1,044,514.44
Double scale
Find fourth proportional to 693,049.24, 957,344.06 and 522,258.22
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.