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Finding the Fourth Proportional to 418,193.60, 627,605.88 and 193,711.54

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Solution

The fourth proportional to 418,193.60, 627,605.88 and 193,711.54 is: 290,713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,193.60 : 627,605.88 = 193,711.54 : x
  2. Step 2: Convert to fraction form
    418,193.60/627,605.88 = 193,711.54/x
  3. Step 3: Cross multiply
    418,193.60x = 627,605.88 × 193,711.54
  4. Step 4: Simplify right side
    418,193.60x = 121,574,501,527.86
  5. Step 5: Solve for x
    x = 121,574,501,527.86/418,193.60
  6. Step 6: Final answer
    x = 290,713.44

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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.