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Finding the Fourth Proportional to 422,608.46, 583,198.52 and 229,021.56

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Solution

The fourth proportional to 422,608.46, 583,198.52 and 229,021.56 is: 316,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,608.46 : 583,198.52 = 229,021.56 : x
  2. Step 2: Convert to fraction form
    422,608.46/583,198.52 = 229,021.56/x
  3. Step 3: Cross multiply
    422,608.46x = 583,198.52 × 229,021.56
  4. Step 4: Simplify right side
    422,608.46x = 133,565,033,694.98
  5. Step 5: Solve for x
    x = 133,565,033,694.98/422,608.46
  6. Step 6: Final answer
    x = 316,049.13

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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.