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Finding the Fourth Proportional to 298,723.11, 412,221.60 and 169,658.39

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Solution

The fourth proportional to 298,723.11, 412,221.60 and 169,658.39 is: 234,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,723.11 : 412,221.60 = 169,658.39 : x
  2. Step 2: Convert to fraction form
    298,723.11/412,221.60 = 169,658.39/x
  3. Step 3: Cross multiply
    298,723.11x = 412,221.60 × 169,658.39
  4. Step 4: Simplify right side
    298,723.11x = 69,936,850,918.12
  5. Step 5: Solve for x
    x = 69,936,850,918.12/298,723.11
  6. Step 6: Final answer
    x = 234,119.32

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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.