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Finding the Fourth Proportional to 463,404.60, 694,232.10 and 237,997.80

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Solution

The fourth proportional to 463,404.60, 694,232.10 and 237,997.80 is: 356,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,404.60 : 694,232.10 = 237,997.80 : x
  2. Step 2: Convert to fraction form
    463,404.60/694,232.10 = 237,997.80/x
  3. Step 3: Cross multiply
    463,404.60x = 694,232.10 × 237,997.80
  4. Step 4: Simplify right side
    463,404.60x = 165,225,712,489.38
  5. Step 5: Solve for x
    x = 165,225,712,489.38/463,404.60
  6. Step 6: Final answer
    x = 356,547.42

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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.