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Finding the Fourth Proportional to 431,806.68, 647,729.46 and 132,265.44

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Solution

The fourth proportional to 431,806.68, 647,729.46 and 132,265.44 is: 198,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,806.68 : 647,729.46 = 132,265.44 : x
  2. Step 2: Convert to fraction form
    431,806.68/647,729.46 = 132,265.44/x
  3. Step 3: Cross multiply
    431,806.68x = 647,729.46 × 132,265.44
  4. Step 4: Simplify right side
    431,806.68x = 85,672,222,027.86
  5. Step 5: Solve for x
    x = 85,672,222,027.86/431,806.68
  6. Step 6: Final answer
    x = 198,404.11

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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.