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Finding the Fourth Proportional to 462,944.97, 638,882.24 and 271,956.69

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Solution

The fourth proportional to 462,944.97, 638,882.24 and 271,956.69 is: 375,310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,944.97 : 638,882.24 = 271,956.69 : x
  2. Step 2: Convert to fraction form
    462,944.97/638,882.24 = 271,956.69/x
  3. Step 3: Cross multiply
    462,944.97x = 638,882.24 × 271,956.69
  4. Step 4: Simplify right side
    462,944.97x = 173,748,297,930.40
  5. Step 5: Solve for x
    x = 173,748,297,930.40/462,944.97
  6. Step 6: Final answer
    x = 375,310.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.