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Finding the Fourth Proportional to 491,104.73, 677,650.16 and 276,297.59

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Solution

The fourth proportional to 491,104.73, 677,650.16 and 276,297.59 is: 381,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,104.73 : 677,650.16 = 276,297.59 : x
  2. Step 2: Convert to fraction form
    491,104.73/677,650.16 = 276,297.59/x
  3. Step 3: Cross multiply
    491,104.73x = 677,650.16 × 276,297.59
  4. Step 4: Simplify right side
    491,104.73x = 187,233,101,301.38
  5. Step 5: Solve for x
    x = 187,233,101,301.38/491,104.73
  6. Step 6: Final answer
    x = 381,248.83

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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.