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Finding the Fourth Proportional to 431,550.68, 647,302.61 and 132,031.20

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Solution

The fourth proportional to 431,550.68, 647,302.61 and 132,031.20 is: 198,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,550.68 : 647,302.61 = 132,031.20 : x
  2. Step 2: Convert to fraction form
    431,550.68/647,302.61 = 132,031.20/x
  3. Step 3: Cross multiply
    431,550.68x = 647,302.61 × 132,031.20
  4. Step 4: Simplify right side
    431,550.68x = 85,464,139,701.28
  5. Step 5: Solve for x
    x = 85,464,139,701.28/431,550.68
  6. Step 6: Final answer
    x = 198,039.64

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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.