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Finding the Fourth Proportional to 311,841.90, 466,595.10 and 222,092.10

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Solution

The fourth proportional to 311,841.90, 466,595.10 and 222,092.10 is: 332,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,841.90 : 466,595.10 = 222,092.10 : x
  2. Step 2: Convert to fraction form
    311,841.90/466,595.10 = 222,092.10/x
  3. Step 3: Cross multiply
    311,841.90x = 466,595.10 × 222,092.10
  4. Step 4: Simplify right side
    311,841.90x = 103,627,085,608.71
  5. Step 5: Solve for x
    x = 103,627,085,608.71/311,841.90
  6. Step 6: Final answer
    x = 332,306.48

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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.