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Finding the Fourth Proportional to 356,096.70, 491,419.31 and 194,949.09

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Solution

The fourth proportional to 356,096.70, 491,419.31 and 194,949.09 is: 269,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,096.70 : 491,419.31 = 194,949.09 : x
  2. Step 2: Convert to fraction form
    356,096.70/491,419.31 = 194,949.09/x
  3. Step 3: Cross multiply
    356,096.70x = 491,419.31 × 194,949.09
  4. Step 4: Simplify right side
    356,096.70x = 95,801,746,318.18
  5. Step 5: Solve for x
    x = 95,801,746,318.18/356,096.70
  6. Step 6: Final answer
    x = 269,032.95

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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.