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Finding the Fourth Proportional to 412,086.40, 617,834.40 and 159,150.40

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Solution

The fourth proportional to 412,086.40, 617,834.40 and 159,150.40 is: 238,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,086.40 : 617,834.40 = 159,150.40 : x
  2. Step 2: Convert to fraction form
    412,086.40/617,834.40 = 159,150.40/x
  3. Step 3: Cross multiply
    412,086.40x = 617,834.40 × 159,150.40
  4. Step 4: Simplify right side
    412,086.40x = 98,328,591,893.76
  5. Step 5: Solve for x
    x = 98,328,591,893.76/412,086.40
  6. Step 6: Final answer
    x = 238,611.59

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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.