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Finding the Fourth Proportional to 649,206.20, 973,809.30 and 205,974.20

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Solution

The fourth proportional to 649,206.20, 973,809.30 and 205,974.20 is: 308,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,206.20 : 973,809.30 = 205,974.20 : x
  2. Step 2: Convert to fraction form
    649,206.20/973,809.30 = 205,974.20/x
  3. Step 3: Cross multiply
    649,206.20x = 973,809.30 × 205,974.20
  4. Step 4: Simplify right side
    649,206.20x = 200,579,591,520.06
  5. Step 5: Solve for x
    x = 200,579,591,520.06/649,206.20
  6. Step 6: Final answer
    x = 308,961.30

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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.