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Finding the Fourth Proportional to 298,128.69, 411,380.17 and 201,542.65

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Solution

The fourth proportional to 298,128.69, 411,380.17 and 201,542.65 is: 278,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,128.69 : 411,380.17 = 201,542.65 : x
  2. Step 2: Convert to fraction form
    298,128.69/411,380.17 = 201,542.65/x
  3. Step 3: Cross multiply
    298,128.69x = 411,380.17 × 201,542.65
  4. Step 4: Simplify right side
    298,128.69x = 82,910,647,562.35
  5. Step 5: Solve for x
    x = 82,910,647,562.35/298,128.69
  6. Step 6: Final answer
    x = 278,103.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.