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Finding the Fourth Proportional to 361,006.52, 541,334.34 and 181,014.62

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Solution

The fourth proportional to 361,006.52, 541,334.34 and 181,014.62 is: 271,433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,006.52 : 541,334.34 = 181,014.62 : x
  2. Step 2: Convert to fraction form
    361,006.52/541,334.34 = 181,014.62/x
  3. Step 3: Cross multiply
    361,006.52x = 541,334.34 × 181,014.62
  4. Step 4: Simplify right side
    361,006.52x = 97,989,427,141.38
  5. Step 5: Solve for x
    x = 97,989,427,141.38/361,006.52
  6. Step 6: Final answer
    x = 271,433.96

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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.