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Finding the Fourth Proportional to 327,961.94, 492,205.31 and 170,235.50

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Solution

The fourth proportional to 327,961.94, 492,205.31 and 170,235.50 is: 255,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,961.94 : 492,205.31 = 170,235.50 : x
  2. Step 2: Convert to fraction form
    327,961.94/492,205.31 = 170,235.50/x
  3. Step 3: Cross multiply
    327,961.94x = 492,205.31 × 170,235.50
  4. Step 4: Simplify right side
    327,961.94x = 83,790,813,738.30
  5. Step 5: Solve for x
    x = 83,790,813,738.30/327,961.94
  6. Step 6: Final answer
    x = 255,489.45

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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.