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Finding the Fourth Proportional to 431,456.88, 647,141.58 and 115,872.78

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Solution

The fourth proportional to 431,456.88, 647,141.58 and 115,872.78 is: 173,797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,456.88 : 647,141.58 = 115,872.78 : x
  2. Step 2: Convert to fraction form
    431,456.88/647,141.58 = 115,872.78/x
  3. Step 3: Cross multiply
    431,456.88x = 647,141.58 × 115,872.78
  4. Step 4: Simplify right side
    431,456.88x = 74,986,093,928.19
  5. Step 5: Solve for x
    x = 74,986,093,928.19/431,456.88
  6. Step 6: Final answer
    x = 173,797.42

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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.