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Finding the Fourth Proportional to 299,460.52, 413,255.78 and 165,324.52

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Solution

The fourth proportional to 299,460.52, 413,255.78 and 165,324.52 is: 228,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,460.52 : 413,255.78 = 165,324.52 : x
  2. Step 2: Convert to fraction form
    299,460.52/413,255.78 = 165,324.52/x
  3. Step 3: Cross multiply
    299,460.52x = 413,255.78 × 165,324.52
  4. Step 4: Simplify right side
    299,460.52x = 68,321,313,465.73
  5. Step 5: Solve for x
    x = 68,321,313,465.73/299,460.52
  6. Step 6: Final answer
    x = 228,147.98

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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.