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Finding the Fourth Proportional to 418,174.62, 627,167.35 and 193,411.72

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Solution

The fourth proportional to 418,174.62, 627,167.35 and 193,411.72 is: 290,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,174.62 : 627,167.35 = 193,411.72 : x
  2. Step 2: Convert to fraction form
    418,174.62/627,167.35 = 193,411.72/x
  3. Step 3: Cross multiply
    418,174.62x = 627,167.35 × 193,411.72
  4. Step 4: Simplify right side
    418,174.62x = 121,301,515,891.34
  5. Step 5: Solve for x
    x = 121,301,515,891.34/418,174.62
  6. Step 6: Final answer
    x = 290,073.84

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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.