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Finding the Fourth Proportional to 322,984.66, 445,256.90 and 227,194.06

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Solution

The fourth proportional to 322,984.66, 445,256.90 and 227,194.06 is: 313,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,984.66 : 445,256.90 = 227,194.06 : x
  2. Step 2: Convert to fraction form
    322,984.66/445,256.90 = 227,194.06/x
  3. Step 3: Cross multiply
    322,984.66x = 445,256.90 × 227,194.06
  4. Step 4: Simplify right side
    322,984.66x = 101,159,722,854.01
  5. Step 5: Solve for x
    x = 101,159,722,854.01/322,984.66
  6. Step 6: Final answer
    x = 313,202.87

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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.