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Finding the Fourth Proportional to 361,478.34, 541,481.22 and 171,362.46

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Solution

The fourth proportional to 361,478.34, 541,481.22 and 171,362.46 is: 256,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,478.34 : 541,481.22 = 171,362.46 : x
  2. Step 2: Convert to fraction form
    361,478.34/541,481.22 = 171,362.46/x
  3. Step 3: Cross multiply
    361,478.34x = 541,481.22 × 171,362.46
  4. Step 4: Simplify right side
    361,478.34x = 92,789,553,903.00
  5. Step 5: Solve for x
    x = 92,789,553,903.00/361,478.34
  6. Step 6: Final answer
    x = 256,694.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.