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Finding the Fourth Proportional to 275,719.70, 413,579.55 and 181,241.30

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Solution

The fourth proportional to 275,719.70, 413,579.55 and 181,241.30 is: 271,861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,719.70 : 413,579.55 = 181,241.30 : x
  2. Step 2: Convert to fraction form
    275,719.70/413,579.55 = 181,241.30/x
  3. Step 3: Cross multiply
    275,719.70x = 413,579.55 × 181,241.30
  4. Step 4: Simplify right side
    275,719.70x = 74,957,695,295.42
  5. Step 5: Solve for x
    x = 74,957,695,295.42/275,719.70
  6. Step 6: Final answer
    x = 271,861.95

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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.