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Finding the Fourth Proportional to 290,067.48, 400,286.91 and 160,998.44

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Solution

The fourth proportional to 290,067.48, 400,286.91 and 160,998.44 is: 222,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,067.48 : 400,286.91 = 160,998.44 : x
  2. Step 2: Convert to fraction form
    290,067.48/400,286.91 = 160,998.44/x
  3. Step 3: Cross multiply
    290,067.48x = 400,286.91 × 160,998.44
  4. Step 4: Simplify right side
    290,067.48x = 64,445,566,664.73
  5. Step 5: Solve for x
    x = 64,445,566,664.73/290,067.48
  6. Step 6: Final answer
    x = 222,174.39

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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.