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Finding the Fourth Proportional to 396,806.38, 594,587.49 and 337,397.74

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Solution

The fourth proportional to 396,806.38, 594,587.49 and 337,397.74 is: 505,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,806.38 : 594,587.49 = 337,397.74 : x
  2. Step 2: Convert to fraction form
    396,806.38/594,587.49 = 337,397.74/x
  3. Step 3: Cross multiply
    396,806.38x = 594,587.49 × 337,397.74
  4. Step 4: Simplify right side
    396,806.38x = 200,612,475,358.27
  5. Step 5: Solve for x
    x = 200,612,475,358.27/396,806.38
  6. Step 6: Final answer
    x = 505,567.67

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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.