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Finding the Fourth Proportional to 297,376.29, 410,379.69 and 161,410.26

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Solution

The fourth proportional to 297,376.29, 410,379.69 and 161,410.26 is: 222,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,376.29 : 410,379.69 = 161,410.26 : x
  2. Step 2: Convert to fraction form
    297,376.29/410,379.69 = 161,410.26/x
  3. Step 3: Cross multiply
    297,376.29x = 410,379.69 × 161,410.26
  4. Step 4: Simplify right side
    297,376.29x = 66,239,491,654.57
  5. Step 5: Solve for x
    x = 66,239,491,654.57/297,376.29
  6. Step 6: Final answer
    x = 222,746.38

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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.