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Finding the Fourth Proportional to 378,477.74, 567,713.92 and 138,608.09

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Solution

The fourth proportional to 378,477.74, 567,713.92 and 138,608.09 is: 207,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,477.74 : 567,713.92 = 138,608.09 : x
  2. Step 2: Convert to fraction form
    378,477.74/567,713.92 = 138,608.09/x
  3. Step 3: Cross multiply
    378,477.74x = 567,713.92 × 138,608.09
  4. Step 4: Simplify right side
    378,477.74x = 78,689,744,514.73
  5. Step 5: Solve for x
    x = 78,689,744,514.73/378,477.74
  6. Step 6: Final answer
    x = 207,911.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.