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Finding the Fourth Proportional to 241,608.80, 362,413.20 and 219,447.20

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Solution

The fourth proportional to 241,608.80, 362,413.20 and 219,447.20 is: 329,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,608.80 : 362,413.20 = 219,447.20 : x
  2. Step 2: Convert to fraction form
    241,608.80/362,413.20 = 219,447.20/x
  3. Step 3: Cross multiply
    241,608.80x = 362,413.20 × 219,447.20
  4. Step 4: Simplify right side
    241,608.80x = 79,530,561,983.04
  5. Step 5: Solve for x
    x = 79,530,561,983.04/241,608.80
  6. Step 6: Final answer
    x = 329,170.80

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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.