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Finding the Fourth Proportional to 416,233.20, 624,286.44 and 135,750

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Solution

The fourth proportional to 416,233.20, 624,286.44 and 135,750 is: 203,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,233.20 : 624,286.44 = 135,750 : x
  2. Step 2: Convert to fraction form
    416,233.20/624,286.44 = 135,750/x
  3. Step 3: Cross multiply
    416,233.20x = 624,286.44 × 135,750
  4. Step 4: Simplify right side
    416,233.20x = 84,746,884,230
  5. Step 5: Solve for x
    x = 84,746,884,230/416,233.20
  6. Step 6: Final answer
    x = 203,604.34

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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.