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Finding the Fourth Proportional to 298,013.91, 444,213.42 and 274,099.11

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Solution

The fourth proportional to 298,013.91, 444,213.42 and 274,099.11 is: 408,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,013.91 : 444,213.42 = 274,099.11 : x
  2. Step 2: Convert to fraction form
    298,013.91/444,213.42 = 274,099.11/x
  3. Step 3: Cross multiply
    298,013.91x = 444,213.42 × 274,099.11
  4. Step 4: Simplify right side
    298,013.91x = 121,758,503,072.06
  5. Step 5: Solve for x
    x = 121,758,503,072.06/298,013.91
  6. Step 6: Final answer
    x = 408,566.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.