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Finding the Fourth Proportional to 297,382.72, 410,377.08 and 161,413.76

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Solution

The fourth proportional to 297,382.72, 410,377.08 and 161,413.76 is: 222,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,382.72 : 410,377.08 = 161,413.76 : x
  2. Step 2: Convert to fraction form
    297,382.72/410,377.08 = 161,413.76/x
  3. Step 3: Cross multiply
    297,382.72x = 410,377.08 × 161,413.76
  4. Step 4: Simplify right side
    297,382.72x = 66,240,507,500.62
  5. Step 5: Solve for x
    x = 66,240,507,500.62/297,382.72
  6. Step 6: Final answer
    x = 222,744.98

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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.