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Finding the Fourth Proportional to 512,681.92, 707,700.34 and 458,873.52

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Solution

The fourth proportional to 512,681.92, 707,700.34 and 458,873.52 is: 633,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,681.92 : 707,700.34 = 458,873.52 : x
  2. Step 2: Convert to fraction form
    512,681.92/707,700.34 = 458,873.52/x
  3. Step 3: Cross multiply
    512,681.92x = 707,700.34 × 458,873.52
  4. Step 4: Simplify right side
    512,681.92x = 324,744,948,001.08
  5. Step 5: Solve for x
    x = 324,744,948,001.08/512,681.92
  6. Step 6: Final answer
    x = 633,423.83

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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.