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Finding the Fourth Proportional to 431,711.60, 647,567.40 and 136,223.60

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Solution

The fourth proportional to 431,711.60, 647,567.40 and 136,223.60 is: 204,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,711.60 : 647,567.40 = 136,223.60 : x
  2. Step 2: Convert to fraction form
    431,711.60/647,567.40 = 136,223.60/x
  3. Step 3: Cross multiply
    431,711.60x = 647,567.40 × 136,223.60
  4. Step 4: Simplify right side
    431,711.60x = 88,213,962,470.64
  5. Step 5: Solve for x
    x = 88,213,962,470.64/431,711.60
  6. Step 6: Final answer
    x = 204,335.40

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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.