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Finding the Fourth Proportional to 409,002.67, 613,217.94 and 181,187.34

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Solution

The fourth proportional to 409,002.67, 613,217.94 and 181,187.34 is: 271,654.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,002.67 : 613,217.94 = 181,187.34 : x
  2. Step 2: Convert to fraction form
    409,002.67/613,217.94 = 181,187.34/x
  3. Step 3: Cross multiply
    409,002.67x = 613,217.94 × 181,187.34
  4. Step 4: Simplify right side
    409,002.67x = 111,107,324,322.79
  5. Step 5: Solve for x
    x = 111,107,324,322.79/409,002.67
  6. Step 6: Final answer
    x = 271,654.28

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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.