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Finding the Fourth Proportional to 649,215.70, 973,823.55 and 205,983.70

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Solution

The fourth proportional to 649,215.70, 973,823.55 and 205,983.70 is: 308,975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,215.70 : 973,823.55 = 205,983.70 : x
  2. Step 2: Convert to fraction form
    649,215.70/973,823.55 = 205,983.70/x
  3. Step 3: Cross multiply
    649,215.70x = 973,823.55 × 205,983.70
  4. Step 4: Simplify right side
    649,215.70x = 200,591,777,976.14
  5. Step 5: Solve for x
    x = 200,591,777,976.14/649,215.70
  6. Step 6: Final answer
    x = 308,975.55

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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.