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Finding the Fourth Proportional to 297,379.89, 410,384.63 and 161,413.85

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Solution

The fourth proportional to 297,379.89, 410,384.63 and 161,413.85 is: 222,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,379.89 : 410,384.63 = 161,413.85 : x
  2. Step 2: Convert to fraction form
    297,379.89/410,384.63 = 161,413.85/x
  3. Step 3: Cross multiply
    297,379.89x = 410,384.63 × 161,413.85
  4. Step 4: Simplify right side
    297,379.89x = 66,241,764,538.62
  5. Step 5: Solve for x
    x = 66,241,764,538.62/297,379.89
  6. Step 6: Final answer
    x = 222,751.33

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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.