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Finding the Fourth Proportional to 327,201.71, 490,537.80 and 147,155.28

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Solution

The fourth proportional to 327,201.71, 490,537.80 and 147,155.28 is: 220,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,201.71 : 490,537.80 = 147,155.28 : x
  2. Step 2: Convert to fraction form
    327,201.71/490,537.80 = 147,155.28/x
  3. Step 3: Cross multiply
    327,201.71x = 490,537.80 × 147,155.28
  4. Step 4: Simplify right side
    327,201.71x = 72,185,227,309.58
  5. Step 5: Solve for x
    x = 72,185,227,309.58/327,201.71
  6. Step 6: Final answer
    x = 220,613.85

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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.