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Finding the Fourth Proportional to 649,215.20, 973,822.80 and 205,983.20

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Solution

The fourth proportional to 649,215.20, 973,822.80 and 205,983.20 is: 308,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,215.20 : 973,822.80 = 205,983.20 : x
  2. Step 2: Convert to fraction form
    649,215.20/973,822.80 = 205,983.20/x
  3. Step 3: Cross multiply
    649,215.20x = 973,822.80 × 205,983.20
  4. Step 4: Simplify right side
    649,215.20x = 200,591,136,576.96
  5. Step 5: Solve for x
    x = 200,591,136,576.96/649,215.20
  6. Step 6: Final answer
    x = 308,974.80

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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.