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Finding the Fourth Proportional to 462,781.92, 693,997.68 and 252,305.28

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Solution

The fourth proportional to 462,781.92, 693,997.68 and 252,305.28 is: 378,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,781.92 : 693,997.68 = 252,305.28 : x
  2. Step 2: Convert to fraction form
    462,781.92/693,997.68 = 252,305.28/x
  3. Step 3: Cross multiply
    462,781.92x = 693,997.68 × 252,305.28
  4. Step 4: Simplify right side
    462,781.92x = 175,099,278,971.75
  5. Step 5: Solve for x
    x = 175,099,278,971.75/462,781.92
  6. Step 6: Final answer
    x = 378,362.40

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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.