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Finding the Fourth Proportional to 356,034.15, 491,311.44 and 194,892.48

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Solution

The fourth proportional to 356,034.15, 491,311.44 and 194,892.48 is: 268,943.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,034.15 : 491,311.44 = 194,892.48 : x
  2. Step 2: Convert to fraction form
    356,034.15/491,311.44 = 194,892.48/x
  3. Step 3: Cross multiply
    356,034.15x = 491,311.44 × 194,892.48
  4. Step 4: Simplify right side
    356,034.15x = 95,752,904,993.97
  5. Step 5: Solve for x
    x = 95,752,904,993.97/356,034.15
  6. Step 6: Final answer
    x = 268,943.04

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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.