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Finding the Fourth Proportional to 360,808.62, 541,201.76 and 171,405.30

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Solution

The fourth proportional to 360,808.62, 541,201.76 and 171,405.30 is: 257,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,808.62 : 541,201.76 = 171,405.30 : x
  2. Step 2: Convert to fraction form
    360,808.62/541,201.76 = 171,405.30/x
  3. Step 3: Cross multiply
    360,808.62x = 541,201.76 × 171,405.30
  4. Step 4: Simplify right side
    360,808.62x = 92,764,850,033.33
  5. Step 5: Solve for x
    x = 92,764,850,033.33/360,808.62
  6. Step 6: Final answer
    x = 257,102.64

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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.