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Finding the Fourth Proportional to 417,468.44, 576,106.66 and 226,481.78

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Solution

The fourth proportional to 417,468.44, 576,106.66 and 226,481.78 is: 312,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,468.44 : 576,106.66 = 226,481.78 : x
  2. Step 2: Convert to fraction form
    417,468.44/576,106.66 = 226,481.78/x
  3. Step 3: Cross multiply
    417,468.44x = 576,106.66 × 226,481.78
  4. Step 4: Simplify right side
    417,468.44x = 130,477,661,826.66
  5. Step 5: Solve for x
    x = 130,477,661,826.66/417,468.44
  6. Step 6: Final answer
    x = 312,544.97

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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.