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Finding the Fourth Proportional to 297,805.62, 411,067.53 and 190,664.22

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Solution

The fourth proportional to 297,805.62, 411,067.53 and 190,664.22 is: 263,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,805.62 : 411,067.53 = 190,664.22 : x
  2. Step 2: Convert to fraction form
    297,805.62/411,067.53 = 190,664.22/x
  3. Step 3: Cross multiply
    297,805.62x = 411,067.53 × 190,664.22
  4. Step 4: Simplify right side
    297,805.62x = 78,375,869,974.78
  5. Step 5: Solve for x
    x = 78,375,869,974.78/297,805.62
  6. Step 6: Final answer
    x = 263,177.94

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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.