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Finding the Fourth Proportional to 431,400.80, 647,101.20 and 165,024.20

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Solution

The fourth proportional to 431,400.80, 647,101.20 and 165,024.20 is: 247,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,400.80 : 647,101.20 = 165,024.20 : x
  2. Step 2: Convert to fraction form
    431,400.80/647,101.20 = 165,024.20/x
  3. Step 3: Cross multiply
    431,400.80x = 647,101.20 × 165,024.20
  4. Step 4: Simplify right side
    431,400.80x = 106,787,357,849.04
  5. Step 5: Solve for x
    x = 106,787,357,849.04/431,400.80
  6. Step 6: Final answer
    x = 247,536.30

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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.