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Finding the Fourth Proportional to 412,231.20, 618,346.80 and 396,484.80

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Solution

The fourth proportional to 412,231.20, 618,346.80 and 396,484.80 is: 594,727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,231.20 : 618,346.80 = 396,484.80 : x
  2. Step 2: Convert to fraction form
    412,231.20/618,346.80 = 396,484.80/x
  3. Step 3: Cross multiply
    412,231.20x = 618,346.80 × 396,484.80
  4. Step 4: Simplify right side
    412,231.20x = 245,165,107,328.64
  5. Step 5: Solve for x
    x = 245,165,107,328.64/412,231.20
  6. Step 6: Final answer
    x = 594,727.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.