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Finding the Fourth Proportional to 297,379.52, 410,372.70 and 161,410.55

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Solution

The fourth proportional to 297,379.52, 410,372.70 and 161,410.55 is: 222,740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,379.52 : 410,372.70 = 161,410.55 : x
  2. Step 2: Convert to fraction form
    297,379.52/410,372.70 = 161,410.55/x
  3. Step 3: Cross multiply
    297,379.52x = 410,372.70 × 161,410.55
  4. Step 4: Simplify right side
    297,379.52x = 66,238,481,673.09
  5. Step 5: Solve for x
    x = 66,238,481,673.09/297,379.52
  6. Step 6: Final answer
    x = 222,740.56

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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.