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Finding the Fourth Proportional to 412,016.50, 618,028.60 and 145,822.15

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Solution

The fourth proportional to 412,016.50, 618,028.60 and 145,822.15 is: 218,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,016.50 : 618,028.60 = 145,822.15 : x
  2. Step 2: Convert to fraction form
    412,016.50/618,028.60 = 145,822.15/x
  3. Step 3: Cross multiply
    412,016.50x = 618,028.60 × 145,822.15
  4. Step 4: Simplify right side
    412,016.50x = 90,122,259,213.49
  5. Step 5: Solve for x
    x = 90,122,259,213.49/412,016.50
  6. Step 6: Final answer
    x = 218,734.59

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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.