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Finding the Fourth Proportional to 418,177.37, 627,171.48 and 193,414.47

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Solution

The fourth proportional to 418,177.37, 627,171.48 and 193,414.47 is: 290,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,177.37 : 627,171.48 = 193,414.47 : x
  2. Step 2: Convert to fraction form
    418,177.37/627,171.48 = 193,414.47/x
  3. Step 3: Cross multiply
    418,177.37x = 627,171.48 × 193,414.47
  4. Step 4: Simplify right side
    418,177.37x = 121,304,039,403.32
  5. Step 5: Solve for x
    x = 121,304,039,403.32/418,177.37
  6. Step 6: Final answer
    x = 290,077.97

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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.