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Finding the Fourth Proportional to 392,821.88, 589,266.75 and 108,512.33

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Solution

The fourth proportional to 392,821.88, 589,266.75 and 108,512.33 is: 162,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,821.88 : 589,266.75 = 108,512.33 : x
  2. Step 2: Convert to fraction form
    392,821.88/589,266.75 = 108,512.33/x
  3. Step 3: Cross multiply
    392,821.88x = 589,266.75 × 108,512.33
  4. Step 4: Simplify right side
    392,821.88x = 63,942,705,087.69
  5. Step 5: Solve for x
    x = 63,942,705,087.69/392,821.88
  6. Step 6: Final answer
    x = 162,777.86

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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.