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Finding the Fourth Proportional to 418,251.76, 627,024.86 and 181,416.04

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Solution

The fourth proportional to 418,251.76, 627,024.86 and 181,416.04 is: 271,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,251.76 : 627,024.86 = 181,416.04 : x
  2. Step 2: Convert to fraction form
    418,251.76/627,024.86 = 181,416.04/x
  3. Step 3: Cross multiply
    418,251.76x = 627,024.86 × 181,416.04
  4. Step 4: Simplify right side
    418,251.76x = 113,752,367,082.75
  5. Step 5: Solve for x
    x = 113,752,367,082.75/418,251.76
  6. Step 6: Final answer
    x = 271,971.04

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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.