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Finding the Fourth Proportional to 431,775.72, 647,706.78 and 132,252.84

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Solution

The fourth proportional to 431,775.72, 647,706.78 and 132,252.84 is: 198,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,775.72 : 647,706.78 = 132,252.84 : x
  2. Step 2: Convert to fraction form
    431,775.72/647,706.78 = 132,252.84/x
  3. Step 3: Cross multiply
    431,775.72x = 647,706.78 × 132,252.84
  4. Step 4: Simplify right side
    431,775.72x = 85,661,061,142.26
  5. Step 5: Solve for x
    x = 85,661,061,142.26/431,775.72
  6. Step 6: Final answer
    x = 198,392.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.