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Finding the Fourth Proportional to 454,881.73, 682,313.25 and 202,093.69

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Solution

The fourth proportional to 454,881.73, 682,313.25 and 202,093.69 is: 303,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,881.73 : 682,313.25 = 202,093.69 : x
  2. Step 2: Convert to fraction form
    454,881.73/682,313.25 = 202,093.69/x
  3. Step 3: Cross multiply
    454,881.73x = 682,313.25 × 202,093.69
  4. Step 4: Simplify right side
    454,881.73x = 137,891,202,428.39
  5. Step 5: Solve for x
    x = 137,891,202,428.39/454,881.73
  6. Step 6: Final answer
    x = 303,136.38

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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.