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Finding the Fourth Proportional to 431,497.88, 647,246.24 and 115,954.80

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Solution

The fourth proportional to 431,497.88, 647,246.24 and 115,954.80 is: 173,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,497.88 : 647,246.24 = 115,954.80 : x
  2. Step 2: Convert to fraction form
    431,497.88/647,246.24 = 115,954.80/x
  3. Step 3: Cross multiply
    431,497.88x = 647,246.24 × 115,954.80
  4. Step 4: Simplify right side
    431,497.88x = 75,051,308,309.95
  5. Step 5: Solve for x
    x = 75,051,308,309.95/431,497.88
  6. Step 6: Final answer
    x = 173,932.04

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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.