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Finding the Fourth Proportional to 361,005.40, 541,508.10 and 329,512.60

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Solution

The fourth proportional to 361,005.40, 541,508.10 and 329,512.60 is: 494,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,005.40 : 541,508.10 = 329,512.60 : x
  2. Step 2: Convert to fraction form
    361,005.40/541,508.10 = 329,512.60/x
  3. Step 3: Cross multiply
    361,005.40x = 541,508.10 × 329,512.60
  4. Step 4: Simplify right side
    361,005.40x = 178,433,741,952.06
  5. Step 5: Solve for x
    x = 178,433,741,952.06/361,005.40
  6. Step 6: Final answer
    x = 494,268.90

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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.