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Finding the Fourth Proportional to 431,507.40, 647,358.30 and 132,001.80

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Solution

The fourth proportional to 431,507.40, 647,358.30 and 132,001.80 is: 198,032.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,507.40 : 647,358.30 = 132,001.80 : x
  2. Step 2: Convert to fraction form
    431,507.40/647,358.30 = 132,001.80/x
  3. Step 3: Cross multiply
    431,507.40x = 647,358.30 × 132,001.80
  4. Step 4: Simplify right side
    431,507.40x = 85,452,460,844.94
  5. Step 5: Solve for x
    x = 85,452,460,844.94/431,507.40
  6. Step 6: Final answer
    x = 198,032.43

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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.