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Finding the Fourth Proportional to 227,965.20, 341,947.80 and 224,854.80

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Solution

The fourth proportional to 227,965.20, 341,947.80 and 224,854.80 is: 337,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,965.20 : 341,947.80 = 224,854.80 : x
  2. Step 2: Convert to fraction form
    227,965.20/341,947.80 = 224,854.80/x
  3. Step 3: Cross multiply
    227,965.20x = 341,947.80 × 224,854.80
  4. Step 4: Simplify right side
    227,965.20x = 76,888,604,179.44
  5. Step 5: Solve for x
    x = 76,888,604,179.44/227,965.20
  6. Step 6: Final answer
    x = 337,282.20

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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.