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Finding the Fourth Proportional to 356,098.70, 491,422.07 and 194,951.09

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Solution

The fourth proportional to 356,098.70, 491,422.07 and 194,951.09 is: 269,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,098.70 : 491,422.07 = 194,951.09 : x
  2. Step 2: Convert to fraction form
    356,098.70/491,422.07 = 194,951.09/x
  3. Step 3: Cross multiply
    356,098.70x = 491,422.07 × 194,951.09
  4. Step 4: Simplify right side
    356,098.70x = 95,803,268,196.56
  5. Step 5: Solve for x
    x = 95,803,268,196.56/356,098.70
  6. Step 6: Final answer
    x = 269,035.71

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1.5x scale

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.