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Finding the Fourth Proportional to 412,245.20, 618,367.80 and 202,293.20

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Solution

The fourth proportional to 412,245.20, 618,367.80 and 202,293.20 is: 303,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,245.20 : 618,367.80 = 202,293.20 : x
  2. Step 2: Convert to fraction form
    412,245.20/618,367.80 = 202,293.20/x
  3. Step 3: Cross multiply
    412,245.20x = 618,367.80 × 202,293.20
  4. Step 4: Simplify right side
    412,245.20x = 125,091,601,038.96
  5. Step 5: Solve for x
    x = 125,091,601,038.96/412,245.20
  6. Step 6: Final answer
    x = 303,439.80

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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.