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Finding the Fourth Proportional to 327,198.38, 451,546.80 and 183,957.98

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Solution

The fourth proportional to 327,198.38, 451,546.80 and 183,957.98 is: 253,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,198.38 : 451,546.80 = 183,957.98 : x
  2. Step 2: Convert to fraction form
    327,198.38/451,546.80 = 183,957.98/x
  3. Step 3: Cross multiply
    327,198.38x = 451,546.80 × 183,957.98
  4. Step 4: Simplify right side
    327,198.38x = 83,065,637,203.46
  5. Step 5: Solve for x
    x = 83,065,637,203.46/327,198.38
  6. Step 6: Final answer
    x = 253,869.34

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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.