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Finding the Fourth Proportional to 297,699.34, 410,827.89 and 161,734.27

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Solution

The fourth proportional to 297,699.34, 410,827.89 and 161,734.27 is: 223,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,699.34 : 410,827.89 = 161,734.27 : x
  2. Step 2: Convert to fraction form
    297,699.34/410,827.89 = 161,734.27/x
  3. Step 3: Cross multiply
    297,699.34x = 410,827.89 × 161,734.27
  4. Step 4: Simplify right side
    297,699.34x = 66,444,948,884.79
  5. Step 5: Solve for x
    x = 66,444,948,884.79/297,699.34
  6. Step 6: Final answer
    x = 223,194.81

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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.