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Finding the Fourth Proportional to 431,374.80, 647,062.20 and 164,998.20

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Solution

The fourth proportional to 431,374.80, 647,062.20 and 164,998.20 is: 247,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,374.80 : 647,062.20 = 164,998.20 : x
  2. Step 2: Convert to fraction form
    431,374.80/647,062.20 = 164,998.20/x
  3. Step 3: Cross multiply
    431,374.80x = 647,062.20 × 164,998.20
  4. Step 4: Simplify right side
    431,374.80x = 106,764,098,288.04
  5. Step 5: Solve for x
    x = 106,764,098,288.04/431,374.80
  6. Step 6: Final answer
    x = 247,497.30

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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.