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Finding the Fourth Proportional to 512,338.38, 707,024.25 and 297,531.24

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Solution

The fourth proportional to 512,338.38, 707,024.25 and 297,531.24 is: 410,591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,338.38 : 707,024.25 = 297,531.24 : x
  2. Step 2: Convert to fraction form
    512,338.38/707,024.25 = 297,531.24/x
  3. Step 3: Cross multiply
    512,338.38x = 707,024.25 × 297,531.24
  4. Step 4: Simplify right side
    512,338.38x = 210,361,801,812.57
  5. Step 5: Solve for x
    x = 210,361,801,812.57/512,338.38
  6. Step 6: Final answer
    x = 410,591.53

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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.