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Finding the Fourth Proportional to 393,745.80, 590,229.90 and 156,772.20

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Solution

The fourth proportional to 393,745.80, 590,229.90 and 156,772.20 is: 235,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,745.80 : 590,229.90 = 156,772.20 : x
  2. Step 2: Convert to fraction form
    393,745.80/590,229.90 = 156,772.20/x
  3. Step 3: Cross multiply
    393,745.80x = 590,229.90 × 156,772.20
  4. Step 4: Simplify right side
    393,745.80x = 92,531,639,928.78
  5. Step 5: Solve for x
    x = 92,531,639,928.78/393,745.80
  6. Step 6: Final answer
    x = 235,003.50

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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.