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Finding the Fourth Proportional to 323,078.64, 445,843.76 and 179,838.48

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Solution

The fourth proportional to 323,078.64, 445,843.76 and 179,838.48 is: 248,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,078.64 : 445,843.76 = 179,838.48 : x
  2. Step 2: Convert to fraction form
    323,078.64/445,843.76 = 179,838.48/x
  3. Step 3: Cross multiply
    323,078.64x = 445,843.76 × 179,838.48
  4. Step 4: Simplify right side
    323,078.64x = 80,179,864,115.88
  5. Step 5: Solve for x
    x = 80,179,864,115.88/323,078.64
  6. Step 6: Final answer
    x = 248,174.45

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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.