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Finding the Fourth Proportional to 431,558.85, 647,314.89 and 132,039.48

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Solution

The fourth proportional to 431,558.85, 647,314.89 and 132,039.48 is: 198,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,558.85 : 647,314.89 = 132,039.48 : x
  2. Step 2: Convert to fraction form
    431,558.85/647,314.89 = 132,039.48/x
  3. Step 3: Cross multiply
    431,558.85x = 647,314.89 × 132,039.48
  4. Step 4: Simplify right side
    431,558.85x = 85,471,121,471.86
  5. Step 5: Solve for x
    x = 85,471,121,471.86/431,558.85
  6. Step 6: Final answer
    x = 198,052.07

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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.