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Finding the Fourth Proportional to 410,793.90, 616,190.85 and 189,609.90

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Solution

The fourth proportional to 410,793.90, 616,190.85 and 189,609.90 is: 284,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,793.90 : 616,190.85 = 189,609.90 : x
  2. Step 2: Convert to fraction form
    410,793.90/616,190.85 = 189,609.90/x
  3. Step 3: Cross multiply
    410,793.90x = 616,190.85 × 189,609.90
  4. Step 4: Simplify right side
    410,793.90x = 116,835,885,449.42
  5. Step 5: Solve for x
    x = 116,835,885,449.42/410,793.90
  6. Step 6: Final answer
    x = 284,414.85

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