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Finding the Fourth Proportional to 412,215.60, 618,323.40 and 311,176.20

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Solution

The fourth proportional to 412,215.60, 618,323.40 and 311,176.20 is: 466,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,215.60 : 618,323.40 = 311,176.20 : x
  2. Step 2: Convert to fraction form
    412,215.60/618,323.40 = 311,176.20/x
  3. Step 3: Cross multiply
    412,215.60x = 618,323.40 × 311,176.20
  4. Step 4: Simplify right side
    412,215.60x = 192,407,525,983.08
  5. Step 5: Solve for x
    x = 192,407,525,983.08/412,215.60
  6. Step 6: Final answer
    x = 466,764.30

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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.