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Finding the Fourth Proportional to 656,099.70, 984,188.43 and 206,834.82

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Solution

The fourth proportional to 656,099.70, 984,188.43 and 206,834.82 is: 310,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,099.70 : 984,188.43 = 206,834.82 : x
  2. Step 2: Convert to fraction form
    656,099.70/984,188.43 = 206,834.82/x
  3. Step 3: Cross multiply
    656,099.70x = 984,188.43 × 206,834.82
  4. Step 4: Simplify right side
    656,099.70x = 203,564,436,765.13
  5. Step 5: Solve for x
    x = 203,564,436,765.13/656,099.70
  6. Step 6: Final answer
    x = 310,264.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.