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Finding the Fourth Proportional to 417,467.95, 576,105.97 and 226,481.29

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Solution

The fourth proportional to 417,467.95, 576,105.97 and 226,481.29 is: 312,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,467.95 : 576,105.97 = 226,481.29 : x
  2. Step 2: Convert to fraction form
    417,467.95/576,105.97 = 226,481.29/x
  3. Step 3: Cross multiply
    417,467.95x = 576,105.97 × 226,481.29
  4. Step 4: Simplify right side
    417,467.95x = 130,477,223,262.30
  5. Step 5: Solve for x
    x = 130,477,223,262.30/417,467.95
  6. Step 6: Final answer
    x = 312,544.29

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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.