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Finding the Fourth Proportional to 418,731.40, 627,902.70 and 181,952.20

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Solution

The fourth proportional to 418,731.40, 627,902.70 and 181,952.20 is: 272,843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,731.40 : 627,902.70 = 181,952.20 : x
  2. Step 2: Convert to fraction form
    418,731.40/627,902.70 = 181,952.20/x
  3. Step 3: Cross multiply
    418,731.40x = 627,902.70 × 181,952.20
  4. Step 4: Simplify right side
    418,731.40x = 114,248,277,650.94
  5. Step 5: Solve for x
    x = 114,248,277,650.94/418,731.40
  6. Step 6: Final answer
    x = 272,843.83

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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.