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Finding the Fourth Proportional to 269,000.20, 403,500.30 and 199,016.20

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Solution

The fourth proportional to 269,000.20, 403,500.30 and 199,016.20 is: 298,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,000.20 : 403,500.30 = 199,016.20 : x
  2. Step 2: Convert to fraction form
    269,000.20/403,500.30 = 199,016.20/x
  3. Step 3: Cross multiply
    269,000.20x = 403,500.30 × 199,016.20
  4. Step 4: Simplify right side
    269,000.20x = 80,303,096,404.86
  5. Step 5: Solve for x
    x = 80,303,096,404.86/269,000.20
  6. Step 6: Final answer
    x = 298,524.30

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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.