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Finding the Fourth Proportional to 297,778.14, 410,924.61 and 217,545.21

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Solution

The fourth proportional to 297,778.14, 410,924.61 and 217,545.21 is: 300,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,778.14 : 410,924.61 = 217,545.21 : x
  2. Step 2: Convert to fraction form
    297,778.14/410,924.61 = 217,545.21/x
  3. Step 3: Cross multiply
    297,778.14x = 410,924.61 × 217,545.21
  4. Step 4: Simplify right side
    297,778.14x = 89,394,680,576.62
  5. Step 5: Solve for x
    x = 89,394,680,576.62/297,778.14
  6. Step 6: Final answer
    x = 300,205.65

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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.