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Finding the Fourth Proportional to 475,584.12, 656,311.44 and 271,662

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Solution

The fourth proportional to 475,584.12, 656,311.44 and 271,662 is: 374,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,584.12 : 656,311.44 = 271,662 : x
  2. Step 2: Convert to fraction form
    475,584.12/656,311.44 = 271,662/x
  3. Step 3: Cross multiply
    475,584.12x = 656,311.44 × 271,662
  4. Step 4: Simplify right side
    475,584.12x = 178,294,878,413.28
  5. Step 5: Solve for x
    x = 178,294,878,413.28/475,584.12
  6. Step 6: Final answer
    x = 374,896.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.