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Finding the Fourth Proportional to 577,385.89, 866,023.17 and 177,919.40

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Solution

The fourth proportional to 577,385.89, 866,023.17 and 177,919.40 is: 266,861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,385.89 : 866,023.17 = 177,919.40 : x
  2. Step 2: Convert to fraction form
    577,385.89/866,023.17 = 177,919.40/x
  3. Step 3: Cross multiply
    577,385.89x = 866,023.17 × 177,919.40
  4. Step 4: Simplify right side
    577,385.89x = 154,082,321,902.90
  5. Step 5: Solve for x
    x = 154,082,321,902.90/577,385.89
  6. Step 6: Final answer
    x = 266,861.95

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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.