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Finding the Fourth Proportional to 431,963.60, 648,069.75 and 132,488.12

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Solution

The fourth proportional to 431,963.60, 648,069.75 and 132,488.12 is: 198,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,963.60 : 648,069.75 = 132,488.12 : x
  2. Step 2: Convert to fraction form
    431,963.60/648,069.75 = 132,488.12/x
  3. Step 3: Cross multiply
    431,963.60x = 648,069.75 × 132,488.12
  4. Step 4: Simplify right side
    431,963.60x = 85,861,542,143.93
  5. Step 5: Solve for x
    x = 85,861,542,143.93/431,963.60
  6. Step 6: Final answer
    x = 198,770.32

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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.