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Finding the Fourth Proportional to 299,694.67, 413,578.62 and 165,558.67

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Solution

The fourth proportional to 299,694.67, 413,578.62 and 165,558.67 is: 228,470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,694.67 : 413,578.62 = 165,558.67 : x
  2. Step 2: Convert to fraction form
    299,694.67/413,578.62 = 165,558.67/x
  3. Step 3: Cross multiply
    299,694.67x = 413,578.62 × 165,558.67
  4. Step 4: Simplify right side
    299,694.67x = 68,471,525,233.69
  5. Step 5: Solve for x
    x = 68,471,525,233.69/299,694.67
  6. Step 6: Final answer
    x = 228,470.95

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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.