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Finding the Fourth Proportional to 405,885.52, 608,832.36 and 181,257.33

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Solution

The fourth proportional to 405,885.52, 608,832.36 and 181,257.33 is: 271,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,885.52 : 608,832.36 = 181,257.33 : x
  2. Step 2: Convert to fraction form
    405,885.52/608,832.36 = 181,257.33/x
  3. Step 3: Cross multiply
    405,885.52x = 608,832.36 × 181,257.33
  4. Step 4: Simplify right side
    405,885.52x = 110,355,327,991.20
  5. Step 5: Solve for x
    x = 110,355,327,991.20/405,885.52
  6. Step 6: Final answer
    x = 271,887.82

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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.