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Finding the Fourth Proportional to 309,716.45, 427,591.92 and 195,093.35

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Solution

The fourth proportional to 309,716.45, 427,591.92 and 195,093.35 is: 269,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,716.45 : 427,591.92 = 195,093.35 : x
  2. Step 2: Convert to fraction form
    309,716.45/427,591.92 = 195,093.35/x
  3. Step 3: Cross multiply
    309,716.45x = 427,591.92 × 195,093.35
  4. Step 4: Simplify right side
    309,716.45x = 83,420,340,105.73
  5. Step 5: Solve for x
    x = 83,420,340,105.73/309,716.45
  6. Step 6: Final answer
    x = 269,344.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.