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Finding the Fourth Proportional to 327,175.52, 490,763.42 and 102,553.44

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Solution

The fourth proportional to 327,175.52, 490,763.42 and 102,553.44 is: 153,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,175.52 : 490,763.42 = 102,553.44 : x
  2. Step 2: Convert to fraction form
    327,175.52/490,763.42 = 102,553.44/x
  3. Step 3: Cross multiply
    327,175.52x = 490,763.42 × 102,553.44
  4. Step 4: Simplify right side
    327,175.52x = 50,329,476,947.16
  5. Step 5: Solve for x
    x = 50,329,476,947.16/327,175.52
  6. Step 6: Final answer
    x = 153,830.20

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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.