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Finding the Fourth Proportional to 431,639.20, 647,458.80 and 389,648.80

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Solution

The fourth proportional to 431,639.20, 647,458.80 and 389,648.80 is: 584,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,639.20 : 647,458.80 = 389,648.80 : x
  2. Step 2: Convert to fraction form
    431,639.20/647,458.80 = 389,648.80/x
  3. Step 3: Cross multiply
    431,639.20x = 647,458.80 × 389,648.80
  4. Step 4: Simplify right side
    431,639.20x = 252,281,544,469.44
  5. Step 5: Solve for x
    x = 252,281,544,469.44/431,639.20
  6. Step 6: Final answer
    x = 584,473.20

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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.