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Finding the Fourth Proportional to 298,550.86, 411,981.51 and 164,414.86

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Solution

The fourth proportional to 298,550.86, 411,981.51 and 164,414.86 is: 226,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,550.86 : 411,981.51 = 164,414.86 : x
  2. Step 2: Convert to fraction form
    298,550.86/411,981.51 = 164,414.86/x
  3. Step 3: Cross multiply
    298,550.86x = 411,981.51 × 164,414.86
  4. Step 4: Simplify right side
    298,550.86x = 67,735,880,229.33
  5. Step 5: Solve for x
    x = 67,735,880,229.33/298,550.86
  6. Step 6: Final answer
    x = 226,882.22

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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.