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Finding the Fourth Proportional to 541,537.20, 812,082.24 and 204,520.50

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Solution

The fourth proportional to 541,537.20, 812,082.24 and 204,520.50 is: 306,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,537.20 : 812,082.24 = 204,520.50 : x
  2. Step 2: Convert to fraction form
    541,537.20/812,082.24 = 204,520.50/x
  3. Step 3: Cross multiply
    541,537.20x = 812,082.24 × 204,520.50
  4. Step 4: Simplify right side
    541,537.20x = 166,087,465,765.92
  5. Step 5: Solve for x
    x = 166,087,465,765.92/541,537.20
  6. Step 6: Final answer
    x = 306,696.32

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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.