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Finding the Fourth Proportional to 431,993.20, 647,698.20 and 229,622.80

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Solution

The fourth proportional to 431,993.20, 647,698.20 and 229,622.80 is: 344,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,993.20 : 647,698.20 = 229,622.80 : x
  2. Step 2: Convert to fraction form
    431,993.20/647,698.20 = 229,622.80/x
  3. Step 3: Cross multiply
    431,993.20x = 647,698.20 × 229,622.80
  4. Step 4: Simplify right side
    431,993.20x = 148,726,274,238.96
  5. Step 5: Solve for x
    x = 148,726,274,238.96/431,993.20
  6. Step 6: Final answer
    x = 344,279.20

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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.