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Finding the Fourth Proportional to 327,202.92, 490,815.32 and 90,525.78

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Solution

The fourth proportional to 327,202.92, 490,815.32 and 90,525.78 is: 135,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,202.92 : 490,815.32 = 90,525.78 : x
  2. Step 2: Convert to fraction form
    327,202.92/490,815.32 = 90,525.78/x
  3. Step 3: Cross multiply
    327,202.92x = 490,815.32 × 90,525.78
  4. Step 4: Simplify right side
    327,202.92x = 44,431,439,226.32
  5. Step 5: Solve for x
    x = 44,431,439,226.32/327,202.92
  6. Step 6: Final answer
    x = 135,791.70

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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.