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Finding the Fourth Proportional to 412,848.80, 619,273.20 and 398,414.60

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Solution

The fourth proportional to 412,848.80, 619,273.20 and 398,414.60 is: 597,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,848.80 : 619,273.20 = 398,414.60 : x
  2. Step 2: Convert to fraction form
    412,848.80/619,273.20 = 398,414.60/x
  3. Step 3: Cross multiply
    412,848.80x = 619,273.20 × 398,414.60
  4. Step 4: Simplify right side
    412,848.80x = 246,727,484,268.72
  5. Step 5: Solve for x
    x = 246,727,484,268.72/412,848.80
  6. Step 6: Final answer
    x = 597,621.90

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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.