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Finding the Fourth Proportional to 410,538.38, 566,531.96 and 229,245.26

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Solution

The fourth proportional to 410,538.38, 566,531.96 and 229,245.26 is: 316,352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,538.38 : 566,531.96 = 229,245.26 : x
  2. Step 2: Convert to fraction form
    410,538.38/566,531.96 = 229,245.26/x
  3. Step 3: Cross multiply
    410,538.38x = 566,531.96 × 229,245.26
  4. Step 4: Simplify right side
    410,538.38x = 129,874,762,489.62
  5. Step 5: Solve for x
    x = 129,874,762,489.62/410,538.38
  6. Step 6: Final answer
    x = 316,352.31

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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.