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Finding the Fourth Proportional to 311,231.40, 466,847.10 and 204,943.20

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Solution

The fourth proportional to 311,231.40, 466,847.10 and 204,943.20 is: 307,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,231.40 : 466,847.10 = 204,943.20 : x
  2. Step 2: Convert to fraction form
    311,231.40/466,847.10 = 204,943.20/x
  3. Step 3: Cross multiply
    311,231.40x = 466,847.10 × 204,943.20
  4. Step 4: Simplify right side
    311,231.40x = 95,677,138,584.72
  5. Step 5: Solve for x
    x = 95,677,138,584.72/311,231.40
  6. Step 6: Final answer
    x = 307,414.80

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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.