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Finding the Fourth Proportional to 397,150, 548,067 and 218,302

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Solution

The fourth proportional to 397,150, 548,067 and 218,302 is: 301,256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,150 : 548,067 = 218,302 : x
  2. Step 2: Convert to fraction form
    397,150/548,067 = 218,302/x
  3. Step 3: Cross multiply
    397,150x = 548,067 × 218,302
  4. Step 4: Simplify right side
    397,150x = 119,644,122,234
  5. Step 5: Solve for x
    x = 119,644,122,234/397,150
  6. Step 6: Final answer
    x = 301,256.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.