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Finding the Fourth Proportional to 297,707.73, 410,841.32 and 161,744.37

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Solution

The fourth proportional to 297,707.73, 410,841.32 and 161,744.37 is: 223,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,707.73 : 410,841.32 = 161,744.37 : x
  2. Step 2: Convert to fraction form
    297,707.73/410,841.32 = 161,744.37/x
  3. Step 3: Cross multiply
    297,707.73x = 410,841.32 × 161,744.37
  4. Step 4: Simplify right side
    297,707.73x = 66,451,269,664.65
  5. Step 5: Solve for x
    x = 66,451,269,664.65/297,707.73
  6. Step 6: Final answer
    x = 223,209.76

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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.