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Finding the Fourth Proportional to 345,204.94, 476,286.56 and 222,645.46

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Solution

The fourth proportional to 345,204.94, 476,286.56 and 222,645.46 is: 307,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,204.94 : 476,286.56 = 222,645.46 : x
  2. Step 2: Convert to fraction form
    345,204.94/476,286.56 = 222,645.46/x
  3. Step 3: Cross multiply
    345,204.94x = 476,286.56 × 222,645.46
  4. Step 4: Simplify right side
    345,204.94x = 106,043,040,243.02
  5. Step 5: Solve for x
    x = 106,043,040,243.02/345,204.94
  6. Step 6: Final answer
    x = 307,188.65

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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.