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Finding the Fourth Proportional to 701,966, 1,052,702.66 and 196,391.14

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Solution

The fourth proportional to 701,966, 1,052,702.66 and 196,391.14 is: 294,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,966 : 1,052,702.66 = 196,391.14 : x
  2. Step 2: Convert to fraction form
    701,966/1,052,702.66 = 196,391.14/x
  3. Step 3: Cross multiply
    701,966x = 1,052,702.66 × 196,391.14
  4. Step 4: Simplify right side
    701,966x = 206,741,475,478.43
  5. Step 5: Solve for x
    x = 206,741,475,478.43/701,966
  6. Step 6: Final answer
    x = 294,517.79

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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.