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Finding the Fourth Proportional to 310,286.82, 428,198.49 and 174,323.46

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Solution

The fourth proportional to 310,286.82, 428,198.49 and 174,323.46 is: 240,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,286.82 : 428,198.49 = 174,323.46 : x
  2. Step 2: Convert to fraction form
    310,286.82/428,198.49 = 174,323.46/x
  3. Step 3: Cross multiply
    310,286.82x = 428,198.49 × 174,323.46
  4. Step 4: Simplify right side
    310,286.82x = 74,645,042,343.58
  5. Step 5: Solve for x
    x = 74,645,042,343.58/310,286.82
  6. Step 6: Final answer
    x = 240,567.88

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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.