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Finding the Fourth Proportional to 412,213.20, 618,319.80 and 202,261.20

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Solution

The fourth proportional to 412,213.20, 618,319.80 and 202,261.20 is: 303,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,213.20 : 618,319.80 = 202,261.20 : x
  2. Step 2: Convert to fraction form
    412,213.20/618,319.80 = 202,261.20/x
  3. Step 3: Cross multiply
    412,213.20x = 618,319.80 × 202,261.20
  4. Step 4: Simplify right side
    412,213.20x = 125,062,104,731.76
  5. Step 5: Solve for x
    x = 125,062,104,731.76/412,213.20
  6. Step 6: Final answer
    x = 303,391.80

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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.