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Finding the Fourth Proportional to 311,414.85, 467,122.25 and 74,757.53

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Solution

The fourth proportional to 311,414.85, 467,122.25 and 74,757.53 is: 112,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,414.85 : 467,122.25 = 74,757.53 : x
  2. Step 2: Convert to fraction form
    311,414.85/467,122.25 = 74,757.53/x
  3. Step 3: Cross multiply
    311,414.85x = 467,122.25 × 74,757.53
  4. Step 4: Simplify right side
    311,414.85x = 34,920,903,282.43
  5. Step 5: Solve for x
    x = 34,920,903,282.43/311,414.85
  6. Step 6: Final answer
    x = 112,136.28

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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.