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Finding the Fourth Proportional to 454,540.68, 682,231.68 and 230,058.77

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Solution

The fourth proportional to 454,540.68, 682,231.68 and 230,058.77 is: 345,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,540.68 : 682,231.68 = 230,058.77 : x
  2. Step 2: Convert to fraction form
    454,540.68/682,231.68 = 230,058.77/x
  3. Step 3: Cross multiply
    454,540.68x = 682,231.68 × 230,058.77
  4. Step 4: Simplify right side
    454,540.68x = 156,953,377,744.68
  5. Step 5: Solve for x
    x = 156,953,377,744.68/454,540.68
  6. Step 6: Final answer
    x = 345,301.06

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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.