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Finding the Fourth Proportional to 411,416.20, 618,161.10 and 261,728.20

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Solution

The fourth proportional to 411,416.20, 618,161.10 and 261,728.20 is: 393,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,416.20 : 618,161.10 = 261,728.20 : x
  2. Step 2: Convert to fraction form
    411,416.20/618,161.10 = 261,728.20/x
  3. Step 3: Cross multiply
    411,416.20x = 618,161.10 × 261,728.20
  4. Step 4: Simplify right side
    411,416.20x = 161,790,192,013.02
  5. Step 5: Solve for x
    x = 161,790,192,013.02/411,416.20
  6. Step 6: Final answer
    x = 393,251.87

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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.