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Finding the Fourth Proportional to 327,080.57, 490,811.18 and 137,527.20

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Solution

The fourth proportional to 327,080.57, 490,811.18 and 137,527.20 is: 206,370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,080.57 : 490,811.18 = 137,527.20 : x
  2. Step 2: Convert to fraction form
    327,080.57/490,811.18 = 137,527.20/x
  3. Step 3: Cross multiply
    327,080.57x = 490,811.18 × 137,527.20
  4. Step 4: Simplify right side
    327,080.57x = 67,499,886,626.46
  5. Step 5: Solve for x
    x = 67,499,886,626.46/327,080.57
  6. Step 6: Final answer
    x = 206,370.83

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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.