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Finding the Fourth Proportional to 323,807.80, 485,711.70 and 311,366.20

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Solution

The fourth proportional to 323,807.80, 485,711.70 and 311,366.20 is: 467,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,807.80 : 485,711.70 = 311,366.20 : x
  2. Step 2: Convert to fraction form
    323,807.80/485,711.70 = 311,366.20/x
  3. Step 3: Cross multiply
    323,807.80x = 485,711.70 × 311,366.20
  4. Step 4: Simplify right side
    323,807.80x = 151,234,206,324.54
  5. Step 5: Solve for x
    x = 151,234,206,324.54/323,807.80
  6. Step 6: Final answer
    x = 467,049.30

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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.