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Finding the Fourth Proportional to 311,793.90, 466,523.10 and 222,044.10

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Solution

The fourth proportional to 311,793.90, 466,523.10 and 222,044.10 is: 332,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,793.90 : 466,523.10 = 222,044.10 : x
  2. Step 2: Convert to fraction form
    311,793.90/466,523.10 = 222,044.10/x
  3. Step 3: Cross multiply
    311,793.90x = 466,523.10 × 222,044.10
  4. Step 4: Simplify right side
    311,793.90x = 103,588,701,868.71
  5. Step 5: Solve for x
    x = 103,588,701,868.71/311,793.90
  6. Step 6: Final answer
    x = 332,234.54

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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.