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Finding the Fourth Proportional to 378,942.71, 568,591.25 and 165,682.94

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Solution

The fourth proportional to 378,942.71, 568,591.25 and 165,682.94 is: 248,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,942.71 : 568,591.25 = 165,682.94 : x
  2. Step 2: Convert to fraction form
    378,942.71/568,591.25 = 165,682.94/x
  3. Step 3: Cross multiply
    378,942.71x = 568,591.25 × 165,682.94
  4. Step 4: Simplify right side
    378,942.71x = 94,205,866,286.90
  5. Step 5: Solve for x
    x = 94,205,866,286.90/378,942.71
  6. Step 6: Final answer
    x = 248,601.87

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Why These Related Problems?

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