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Finding the Fourth Proportional to 298,674.52, 412,183.74 and 169,610.38

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Solution

The fourth proportional to 298,674.52, 412,183.74 and 169,610.38 is: 234,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,674.52 : 412,183.74 = 169,610.38 : x
  2. Step 2: Convert to fraction form
    298,674.52/412,183.74 = 169,610.38/x
  3. Step 3: Cross multiply
    298,674.52x = 412,183.74 × 169,610.38
  4. Step 4: Simplify right side
    298,674.52x = 69,910,640,771.22
  5. Step 5: Solve for x
    x = 69,910,640,771.22/298,674.52
  6. Step 6: Final answer
    x = 234,069.65

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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.