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Finding the Fourth Proportional to 494,691.76, 741,429.60 and 228,082.24

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Solution

The fourth proportional to 494,691.76, 741,429.60 and 228,082.24 is: 341,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,691.76 : 741,429.60 = 228,082.24 : x
  2. Step 2: Convert to fraction form
    494,691.76/741,429.60 = 228,082.24/x
  3. Step 3: Cross multiply
    494,691.76x = 741,429.60 × 228,082.24
  4. Step 4: Simplify right side
    494,691.76x = 169,106,923,970.30
  5. Step 5: Solve for x
    x = 169,106,923,970.30/494,691.76
  6. Step 6: Final answer
    x = 341,843.02

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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.