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Finding the Fourth Proportional to 327,063.96, 490,750.83 and 137,565.81

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Solution

The fourth proportional to 327,063.96, 490,750.83 and 137,565.81 is: 206,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,063.96 : 490,750.83 = 137,565.81 : x
  2. Step 2: Convert to fraction form
    327,063.96/490,750.83 = 137,565.81/x
  3. Step 3: Cross multiply
    327,063.96x = 490,750.83 × 137,565.81
  4. Step 4: Simplify right side
    327,063.96x = 67,510,535,437.12
  5. Step 5: Solve for x
    x = 67,510,535,437.12/327,063.96
  6. Step 6: Final answer
    x = 206,413.86

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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.