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Finding the Fourth Proportional to 394,422.21, 591,206.78 and 157,504.50

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Solution

The fourth proportional to 394,422.21, 591,206.78 and 157,504.50 is: 236,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,422.21 : 591,206.78 = 157,504.50 : x
  2. Step 2: Convert to fraction form
    394,422.21/591,206.78 = 157,504.50/x
  3. Step 3: Cross multiply
    394,422.21x = 591,206.78 × 157,504.50
  4. Step 4: Simplify right side
    394,422.21x = 93,117,728,674.27
  5. Step 5: Solve for x
    x = 93,117,728,674.27/394,422.21
  6. Step 6: Final answer
    x = 236,086.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.