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Finding the Fourth Proportional to 454,864.83, 682,224.93 and 151,233.73

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Solution

The fourth proportional to 454,864.83, 682,224.93 and 151,233.73 is: 226,826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,864.83 : 682,224.93 = 151,233.73 : x
  2. Step 2: Convert to fraction form
    454,864.83/682,224.93 = 151,233.73/x
  3. Step 3: Cross multiply
    454,864.83x = 682,224.93 × 151,233.73
  4. Step 4: Simplify right side
    454,864.83x = 103,175,419,795.34
  5. Step 5: Solve for x
    x = 103,175,419,795.34/454,864.83
  6. Step 6: Final answer
    x = 226,826.55

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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.