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Finding the Fourth Proportional to 474,691.20, 712,298.88 and 194,404.80

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Solution

The fourth proportional to 474,691.20, 712,298.88 and 194,404.80 is: 291,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,691.20 : 712,298.88 = 194,404.80 : x
  2. Step 2: Convert to fraction form
    474,691.20/712,298.88 = 194,404.80/x
  3. Step 3: Cross multiply
    474,691.20x = 712,298.88 × 194,404.80
  4. Step 4: Simplify right side
    474,691.20x = 138,474,321,306.62
  5. Step 5: Solve for x
    x = 138,474,321,306.62/474,691.20
  6. Step 6: Final answer
    x = 291,714.53

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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.