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Finding the Fourth Proportional to 484,791.89, 726,944.49 and 282,453.48

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Solution

The fourth proportional to 484,791.89, 726,944.49 and 282,453.48 is: 423,538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,791.89 : 726,944.49 = 282,453.48 : x
  2. Step 2: Convert to fraction form
    484,791.89/726,944.49 = 282,453.48/x
  3. Step 3: Cross multiply
    484,791.89x = 726,944.49 × 282,453.48
  4. Step 4: Simplify right side
    484,791.89x = 205,328,000,967.33
  5. Step 5: Solve for x
    x = 205,328,000,967.33/484,791.89
  6. Step 6: Final answer
    x = 423,538.44

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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.