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Finding the Fourth Proportional to 412,545.30, 618,731.55 and 202,334.10

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Solution

The fourth proportional to 412,545.30, 618,731.55 and 202,334.10 is: 303,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,545.30 : 618,731.55 = 202,334.10 : x
  2. Step 2: Convert to fraction form
    412,545.30/618,731.55 = 202,334.10/x
  3. Step 3: Cross multiply
    412,545.30x = 618,731.55 × 202,334.10
  4. Step 4: Simplify right side
    412,545.30x = 125,190,491,310.86
  5. Step 5: Solve for x
    x = 125,190,491,310.86/412,545.30
  6. Step 6: Final answer
    x = 303,458.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.