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Finding the Fourth Proportional to 394,469.60, 591,704.40 and 114,015.20

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Solution

The fourth proportional to 394,469.60, 591,704.40 and 114,015.20 is: 171,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,469.60 : 591,704.40 = 114,015.20 : x
  2. Step 2: Convert to fraction form
    394,469.60/591,704.40 = 114,015.20/x
  3. Step 3: Cross multiply
    394,469.60x = 591,704.40 × 114,015.20
  4. Step 4: Simplify right side
    394,469.60x = 67,463,295,506.88
  5. Step 5: Solve for x
    x = 67,463,295,506.88/394,469.60
  6. Step 6: Final answer
    x = 171,022.80

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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.