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Finding the Fourth Proportional to 416,257.75, 624,485.04 and 135,775

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Solution

The fourth proportional to 416,257.75, 624,485.04 and 135,775 is: 203,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,257.75 : 624,485.04 = 135,775 : x
  2. Step 2: Convert to fraction form
    416,257.75/624,485.04 = 135,775/x
  3. Step 3: Cross multiply
    416,257.75x = 624,485.04 × 135,775
  4. Step 4: Simplify right side
    416,257.75x = 84,789,456,306
  5. Step 5: Solve for x
    x = 84,789,456,306/416,257.75
  6. Step 6: Final answer
    x = 203,694.60

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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.