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Finding the Fourth Proportional to 332,413.20, 498,619.80 and 192,007.80

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Solution

The fourth proportional to 332,413.20, 498,619.80 and 192,007.80 is: 288,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,413.20 : 498,619.80 = 192,007.80 : x
  2. Step 2: Convert to fraction form
    332,413.20/498,619.80 = 192,007.80/x
  3. Step 3: Cross multiply
    332,413.20x = 498,619.80 × 192,007.80
  4. Step 4: Simplify right side
    332,413.20x = 95,738,890,834.44
  5. Step 5: Solve for x
    x = 95,738,890,834.44/332,413.20
  6. Step 6: Final answer
    x = 288,011.70

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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.