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Finding the Fourth Proportional to 356,027.10, 491,318.14 and 194,892.44

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Solution

The fourth proportional to 356,027.10, 491,318.14 and 194,892.44 is: 268,951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,027.10 : 491,318.14 = 194,892.44 : x
  2. Step 2: Convert to fraction form
    356,027.10/491,318.14 = 194,892.44/x
  3. Step 3: Cross multiply
    356,027.10x = 491,318.14 × 194,892.44
  4. Step 4: Simplify right side
    356,027.10x = 95,754,190,146.40
  5. Step 5: Solve for x
    x = 95,754,190,146.40/356,027.10
  6. Step 6: Final answer
    x = 268,951.97

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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.