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Finding the Fourth Proportional to 412,057.80, 618,086.70 and 318,630.60

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Solution

The fourth proportional to 412,057.80, 618,086.70 and 318,630.60 is: 477,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,057.80 : 618,086.70 = 318,630.60 : x
  2. Step 2: Convert to fraction form
    412,057.80/618,086.70 = 318,630.60/x
  3. Step 3: Cross multiply
    412,057.80x = 618,086.70 × 318,630.60
  4. Step 4: Simplify right side
    412,057.80x = 196,941,336,073.02
  5. Step 5: Solve for x
    x = 196,941,336,073.02/412,057.80
  6. Step 6: Final answer
    x = 477,945.90

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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.