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Finding the Fourth Proportional to 534,209.28, 800,916.48 and 323,796.48

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Solution

The fourth proportional to 534,209.28, 800,916.48 and 323,796.48 is: 485,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,209.28 : 800,916.48 = 323,796.48 : x
  2. Step 2: Convert to fraction form
    534,209.28/800,916.48 = 323,796.48/x
  3. Step 3: Cross multiply
    534,209.28x = 800,916.48 × 323,796.48
  4. Step 4: Simplify right side
    534,209.28x = 259,333,936,997.99
  5. Step 5: Solve for x
    x = 259,333,936,997.99/534,209.28
  6. Step 6: Final answer
    x = 485,453.82

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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.