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Finding the Fourth Proportional to 262,924.80, 394,387.20 and 218,601.60

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Solution

The fourth proportional to 262,924.80, 394,387.20 and 218,601.60 is: 327,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,924.80 : 394,387.20 = 218,601.60 : x
  2. Step 2: Convert to fraction form
    262,924.80/394,387.20 = 218,601.60/x
  3. Step 3: Cross multiply
    262,924.80x = 394,387.20 × 218,601.60
  4. Step 4: Simplify right side
    262,924.80x = 86,213,672,939.52
  5. Step 5: Solve for x
    x = 86,213,672,939.52/262,924.80
  6. Step 6: Final answer
    x = 327,902.40

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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.