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Finding the Fourth Proportional to 227,510, 340,999.30 and 171,169.12

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Solution

The fourth proportional to 227,510, 340,999.30 and 171,169.12 is: 256,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,510 : 340,999.30 = 171,169.12 : x
  2. Step 2: Convert to fraction form
    227,510/340,999.30 = 171,169.12/x
  3. Step 3: Cross multiply
    227,510x = 340,999.30 × 171,169.12
  4. Step 4: Simplify right side
    227,510x = 58,368,550,101.62
  5. Step 5: Solve for x
    x = 58,368,550,101.62/227,510
  6. Step 6: Final answer
    x = 256,553.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.