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Finding the Fourth Proportional to 331,572.60, 497,358.90 and 82,254.60

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Solution

The fourth proportional to 331,572.60, 497,358.90 and 82,254.60 is: 123,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,572.60 : 497,358.90 = 82,254.60 : x
  2. Step 2: Convert to fraction form
    331,572.60/497,358.90 = 82,254.60/x
  3. Step 3: Cross multiply
    331,572.60x = 497,358.90 × 82,254.60
  4. Step 4: Simplify right side
    331,572.60x = 40,910,057,375.94
  5. Step 5: Solve for x
    x = 40,910,057,375.94/331,572.60
  6. Step 6: Final answer
    x = 123,381.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.