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Finding the Fourth Proportional to 378,374.38, 522,160.65 and 208,614.58

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Solution

The fourth proportional to 378,374.38, 522,160.65 and 208,614.58 is: 287,890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,374.38 : 522,160.65 = 208,614.58 : x
  2. Step 2: Convert to fraction form
    378,374.38/522,160.65 = 208,614.58/x
  3. Step 3: Cross multiply
    378,374.38x = 522,160.65 × 208,614.58
  4. Step 4: Simplify right side
    378,374.38x = 108,930,324,692.28
  5. Step 5: Solve for x
    x = 108,930,324,692.28/378,374.38
  6. Step 6: Final answer
    x = 287,890.33

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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.