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Finding the Fourth Proportional to 498,299.31, 747,568.04 and 161,340.32

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Solution

The fourth proportional to 498,299.31, 747,568.04 and 161,340.32 is: 242,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,299.31 : 747,568.04 = 161,340.32 : x
  2. Step 2: Convert to fraction form
    498,299.31/747,568.04 = 161,340.32/x
  3. Step 3: Cross multiply
    498,299.31x = 747,568.04 × 161,340.32
  4. Step 4: Simplify right side
    498,299.31x = 120,612,867,857.59
  5. Step 5: Solve for x
    x = 120,612,867,857.59/498,299.31
  6. Step 6: Final answer
    x = 242,049.04

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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.