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Finding the Fourth Proportional to 400,108.56, 599,549.30 and 271,861.52

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Solution

The fourth proportional to 400,108.56, 599,549.30 and 271,861.52 is: 407,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,108.56 : 599,549.30 = 271,861.52 : x
  2. Step 2: Convert to fraction form
    400,108.56/599,549.30 = 271,861.52/x
  3. Step 3: Cross multiply
    400,108.56x = 599,549.30 × 271,861.52
  4. Step 4: Simplify right side
    400,108.56x = 162,994,380,675.36
  5. Step 5: Solve for x
    x = 162,994,380,675.36/400,108.56
  6. Step 6: Final answer
    x = 407,375.39

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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.