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Finding the Fourth Proportional to 298,344.22, 411,692.10 and 189,440.54

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Solution

The fourth proportional to 298,344.22, 411,692.10 and 189,440.54 is: 261,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,344.22 : 411,692.10 = 189,440.54 : x
  2. Step 2: Convert to fraction form
    298,344.22/411,692.10 = 189,440.54/x
  3. Step 3: Cross multiply
    298,344.22x = 411,692.10 × 189,440.54
  4. Step 4: Simplify right side
    298,344.22x = 77,991,173,737.73
  5. Step 5: Solve for x
    x = 77,991,173,737.73/298,344.22
  6. Step 6: Final answer
    x = 261,413.39

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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.