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Finding the Fourth Proportional to 444,922.58, 667,378.24 and 107,966

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Solution

The fourth proportional to 444,922.58, 667,378.24 and 107,966 is: 161,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,922.58 : 667,378.24 = 107,966 : x
  2. Step 2: Convert to fraction form
    444,922.58/667,378.24 = 107,966/x
  3. Step 3: Cross multiply
    444,922.58x = 667,378.24 × 107,966
  4. Step 4: Simplify right side
    444,922.58x = 72,054,159,059.84
  5. Step 5: Solve for x
    x = 72,054,159,059.84/444,922.58
  6. Step 6: Final answer
    x = 161,947.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.