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Finding the Fourth Proportional to 821,241, 1,231,864.56 and 252,618.30

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Solution

The fourth proportional to 821,241, 1,231,864.56 and 252,618.30 is: 378,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,241 : 1,231,864.56 = 252,618.30 : x
  2. Step 2: Convert to fraction form
    821,241/1,231,864.56 = 252,618.30/x
  3. Step 3: Cross multiply
    821,241x = 1,231,864.56 × 252,618.30
  4. Step 4: Simplify right side
    821,241x = 311,191,530,977.45
  5. Step 5: Solve for x
    x = 311,191,530,977.45/821,241
  6. Step 6: Final answer
    x = 378,928.39

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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.