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Finding the Fourth Proportional to 272,914.80, 409,372.20 and 267,082.80

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Solution

The fourth proportional to 272,914.80, 409,372.20 and 267,082.80 is: 400,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,914.80 : 409,372.20 = 267,082.80 : x
  2. Step 2: Convert to fraction form
    272,914.80/409,372.20 = 267,082.80/x
  3. Step 3: Cross multiply
    272,914.80x = 409,372.20 × 267,082.80
  4. Step 4: Simplify right side
    272,914.80x = 109,336,273,418.16
  5. Step 5: Solve for x
    x = 109,336,273,418.16/272,914.80
  6. Step 6: Final answer
    x = 400,624.20

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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.