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Finding the Fourth Proportional to 462,781.17, 693,996.56 and 252,304.53

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Solution

The fourth proportional to 462,781.17, 693,996.56 and 252,304.53 is: 378,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,781.17 : 693,996.56 = 252,304.53 : x
  2. Step 2: Convert to fraction form
    462,781.17/693,996.56 = 252,304.53/x
  3. Step 3: Cross multiply
    462,781.17x = 693,996.56 × 252,304.53
  4. Step 4: Simplify right side
    462,781.17x = 175,098,474,630.89
  5. Step 5: Solve for x
    x = 175,098,474,630.89/462,781.17
  6. Step 6: Final answer
    x = 378,361.28

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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.