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Finding the Fourth Proportional to 392,640.69, 589,053.31 and 126,391.22

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Solution

The fourth proportional to 392,640.69, 589,053.31 and 126,391.22 is: 189,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,640.69 : 589,053.31 = 126,391.22 : x
  2. Step 2: Convert to fraction form
    392,640.69/589,053.31 = 126,391.22/x
  3. Step 3: Cross multiply
    392,640.69x = 589,053.31 × 126,391.22
  4. Step 4: Simplify right side
    392,640.69x = 74,451,166,495.94
  5. Step 5: Solve for x
    x = 74,451,166,495.94/392,640.69
  6. Step 6: Final answer
    x = 189,616.53

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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.