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Finding the Fourth Proportional to 322,983.66, 445,255.52 and 227,193.06

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Solution

The fourth proportional to 322,983.66, 445,255.52 and 227,193.06 is: 313,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,983.66 : 445,255.52 = 227,193.06 : x
  2. Step 2: Convert to fraction form
    322,983.66/445,255.52 = 227,193.06/x
  3. Step 3: Cross multiply
    322,983.66x = 445,255.52 × 227,193.06
  4. Step 4: Simplify right side
    322,983.66x = 101,158,964,070.69
  5. Step 5: Solve for x
    x = 101,158,964,070.69/322,983.66
  6. Step 6: Final answer
    x = 313,201.49

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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.