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Finding the Fourth Proportional to 356,082.22, 491,393.44 and 194,936.78

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Solution

The fourth proportional to 356,082.22, 491,393.44 and 194,936.78 is: 269,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,082.22 : 491,393.44 = 194,936.78 : x
  2. Step 2: Convert to fraction form
    356,082.22/491,393.44 = 194,936.78/x
  3. Step 3: Cross multiply
    356,082.22x = 491,393.44 × 194,936.78
  4. Step 4: Simplify right side
    356,082.22x = 95,790,654,906.72
  5. Step 5: Solve for x
    x = 95,790,654,906.72/356,082.22
  6. Step 6: Final answer
    x = 269,012.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.