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Finding the Fourth Proportional to 327,077.55, 490,806.68 and 137,524.19

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Solution

The fourth proportional to 327,077.55, 490,806.68 and 137,524.19 is: 206,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,077.55 : 490,806.68 = 137,524.19 : x
  2. Step 2: Convert to fraction form
    327,077.55/490,806.68 = 137,524.19/x
  3. Step 3: Cross multiply
    327,077.55x = 490,806.68 × 137,524.19
  4. Step 4: Simplify right side
    327,077.55x = 67,497,787,971.93
  5. Step 5: Solve for x
    x = 67,497,787,971.93/327,077.55
  6. Step 6: Final answer
    x = 206,366.31

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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.