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Finding the Fourth Proportional to 491,418.38, 678,155.97 and 276,558.44

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Solution

The fourth proportional to 491,418.38, 678,155.97 and 276,558.44 is: 381,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,418.38 : 678,155.97 = 276,558.44 : x
  2. Step 2: Convert to fraction form
    491,418.38/678,155.97 = 276,558.44/x
  3. Step 3: Cross multiply
    491,418.38x = 678,155.97 × 276,558.44
  4. Step 4: Simplify right side
    491,418.38x = 187,549,757,139.89
  5. Step 5: Solve for x
    x = 187,549,757,139.89/491,418.38
  6. Step 6: Final answer
    x = 381,649.86

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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.