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Finding the Fourth Proportional to 392,170.74, 541,206.54 and 220,099.38

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Solution

The fourth proportional to 392,170.74, 541,206.54 and 220,099.38 is: 303,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,170.74 : 541,206.54 = 220,099.38 : x
  2. Step 2: Convert to fraction form
    392,170.74/541,206.54 = 220,099.38/x
  3. Step 3: Cross multiply
    392,170.74x = 541,206.54 × 220,099.38
  4. Step 4: Simplify right side
    392,170.74x = 119,119,223,905.95
  5. Step 5: Solve for x
    x = 119,119,223,905.95/392,170.74
  6. Step 6: Final answer
    x = 303,743.27

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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.