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Finding the Fourth Proportional to 274,019.20, 411,028.80 and 224,811.70

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Solution

The fourth proportional to 274,019.20, 411,028.80 and 224,811.70 is: 337,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,019.20 : 411,028.80 = 224,811.70 : x
  2. Step 2: Convert to fraction form
    274,019.20/411,028.80 = 224,811.70/x
  3. Step 3: Cross multiply
    274,019.20x = 411,028.80 × 224,811.70
  4. Step 4: Simplify right side
    274,019.20x = 92,404,083,276.96
  5. Step 5: Solve for x
    x = 92,404,083,276.96/274,019.20
  6. Step 6: Final answer
    x = 337,217.55

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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.