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Finding the Fourth Proportional to 396,665.10, 547,468.20 and 224,593.02

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Solution

The fourth proportional to 396,665.10, 547,468.20 and 224,593.02 is: 309,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,665.10 : 547,468.20 = 224,593.02 : x
  2. Step 2: Convert to fraction form
    396,665.10/547,468.20 = 224,593.02/x
  3. Step 3: Cross multiply
    396,665.10x = 547,468.20 × 224,593.02
  4. Step 4: Simplify right side
    396,665.10x = 122,957,536,391.96
  5. Step 5: Solve for x
    x = 122,957,536,391.96/396,665.10
  6. Step 6: Final answer
    x = 309,978.21

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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.