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Finding the Fourth Proportional to 356,097.80, 491,414.10 and 194,951.42

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Solution

The fourth proportional to 356,097.80, 491,414.10 and 194,951.42 is: 269,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,097.80 : 491,414.10 = 194,951.42 : x
  2. Step 2: Convert to fraction form
    356,097.80/491,414.10 = 194,951.42/x
  3. Step 3: Cross multiply
    356,097.80x = 491,414.10 × 194,951.42
  4. Step 4: Simplify right side
    356,097.80x = 95,801,876,603.02
  5. Step 5: Solve for x
    x = 95,801,876,603.02/356,097.80
  6. Step 6: Final answer
    x = 269,032.49

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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.