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Finding the Fourth Proportional to 394,517.80, 591,096.30 and 183,723.40

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Solution

The fourth proportional to 394,517.80, 591,096.30 and 183,723.40 is: 275,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,517.80 : 591,096.30 = 183,723.40 : x
  2. Step 2: Convert to fraction form
    394,517.80/591,096.30 = 183,723.40/x
  3. Step 3: Cross multiply
    394,517.80x = 591,096.30 × 183,723.40
  4. Step 4: Simplify right side
    394,517.80x = 108,598,221,963.42
  5. Step 5: Solve for x
    x = 108,598,221,963.42/394,517.80
  6. Step 6: Final answer
    x = 275,268.24

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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.