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Finding the Fourth Proportional to 431,700.52, 647,546.72 and 242,160.52

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Solution

The fourth proportional to 431,700.52, 647,546.72 and 242,160.52 is: 363,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,700.52 : 647,546.72 = 242,160.52 : x
  2. Step 2: Convert to fraction form
    431,700.52/647,546.72 = 242,160.52/x
  3. Step 3: Cross multiply
    431,700.52x = 647,546.72 × 242,160.52
  4. Step 4: Simplify right side
    431,700.52x = 156,810,250,439.49
  5. Step 5: Solve for x
    x = 156,810,250,439.49/431,700.52
  6. Step 6: Final answer
    x = 363,238.50

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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.