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Finding the Fourth Proportional to 419,609.70, 629,413.97 and 194,847.23

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Solution

The fourth proportional to 419,609.70, 629,413.97 and 194,847.23 is: 292,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,609.70 : 629,413.97 = 194,847.23 : x
  2. Step 2: Convert to fraction form
    419,609.70/629,413.97 = 194,847.23/x
  3. Step 3: Cross multiply
    419,609.70x = 629,413.97 × 194,847.23
  4. Step 4: Simplify right side
    419,609.70x = 122,639,565,917.85
  5. Step 5: Solve for x
    x = 122,639,565,917.85/419,609.70
  6. Step 6: Final answer
    x = 292,270.57

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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.