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Finding the Fourth Proportional to 394,912.80, 591,764.40 and 294,602.40

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Solution

The fourth proportional to 394,912.80, 591,764.40 and 294,602.40 is: 441,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,912.80 : 591,764.40 = 294,602.40 : x
  2. Step 2: Convert to fraction form
    394,912.80/591,764.40 = 294,602.40/x
  3. Step 3: Cross multiply
    394,912.80x = 591,764.40 × 294,602.40
  4. Step 4: Simplify right side
    394,912.80x = 174,335,212,474.56
  5. Step 5: Solve for x
    x = 174,335,212,474.56/394,912.80
  6. Step 6: Final answer
    x = 441,452.42

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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.