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Finding the Fourth Proportional to 297,734.40, 446,083.20 and 192,499.20

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Solution

The fourth proportional to 297,734.40, 446,083.20 and 192,499.20 is: 288,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,734.40 : 446,083.20 = 192,499.20 : x
  2. Step 2: Convert to fraction form
    297,734.40/446,083.20 = 192,499.20/x
  3. Step 3: Cross multiply
    297,734.40x = 446,083.20 × 192,499.20
  4. Step 4: Simplify right side
    297,734.40x = 85,870,659,133.44
  5. Step 5: Solve for x
    x = 85,870,659,133.44/297,734.40
  6. Step 6: Final answer
    x = 288,413.63

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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.