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Finding the Fourth Proportional to 431,657.60, 647,429.70 and 132,168.20

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Solution

The fourth proportional to 431,657.60, 647,429.70 and 132,168.20 is: 198,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,657.60 : 647,429.70 = 132,168.20 : x
  2. Step 2: Convert to fraction form
    431,657.60/647,429.70 = 132,168.20/x
  3. Step 3: Cross multiply
    431,657.60x = 647,429.70 × 132,168.20
  4. Step 4: Simplify right side
    431,657.60x = 85,569,618,075.54
  5. Step 5: Solve for x
    x = 85,569,618,075.54/431,657.60
  6. Step 6: Final answer
    x = 198,234.94

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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.