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Finding the Fourth Proportional to 327,077.93, 490,807.25 and 137,524.56

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Solution

The fourth proportional to 327,077.93, 490,807.25 and 137,524.56 is: 206,366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,077.93 : 490,807.25 = 137,524.56 : x
  2. Step 2: Convert to fraction form
    327,077.93/490,807.25 = 137,524.56/x
  3. Step 3: Cross multiply
    327,077.93x = 490,807.25 × 137,524.56
  4. Step 4: Simplify right side
    327,077.93x = 67,498,050,413.44
  5. Step 5: Solve for x
    x = 67,498,050,413.44/327,077.93
  6. Step 6: Final answer
    x = 206,366.88

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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.