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Finding the Fourth Proportional to 412,405.70, 618,608.55 and 202,453.70

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Solution

The fourth proportional to 412,405.70, 618,608.55 and 202,453.70 is: 303,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,405.70 : 618,608.55 = 202,453.70 : x
  2. Step 2: Convert to fraction form
    412,405.70/618,608.55 = 202,453.70/x
  3. Step 3: Cross multiply
    412,405.70x = 618,608.55 × 202,453.70
  4. Step 4: Simplify right side
    412,405.70x = 125,239,589,799.14
  5. Step 5: Solve for x
    x = 125,239,589,799.14/412,405.70
  6. Step 6: Final answer
    x = 303,680.55

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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.