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Finding the Fourth Proportional to 812,881.87, 1,219,493.96 and 307,431.54

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Solution

The fourth proportional to 812,881.87, 1,219,493.96 and 307,431.54 is: 461,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,881.87 : 1,219,493.96 = 307,431.54 : x
  2. Step 2: Convert to fraction form
    812,881.87/1,219,493.96 = 307,431.54/x
  3. Step 3: Cross multiply
    812,881.87x = 1,219,493.96 × 307,431.54
  4. Step 4: Simplify right side
    812,881.87x = 374,910,906,143.50
  5. Step 5: Solve for x
    x = 374,910,906,143.50/812,881.87
  6. Step 6: Final answer
    x = 461,212.04

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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.