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Finding the Fourth Proportional to 494,556.57, 741,812.54 and 206,249.47

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Solution

The fourth proportional to 494,556.57, 741,812.54 and 206,249.47 is: 309,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,556.57 : 741,812.54 = 206,249.47 : x
  2. Step 2: Convert to fraction form
    494,556.57/741,812.54 = 206,249.47/x
  3. Step 3: Cross multiply
    494,556.57x = 741,812.54 × 206,249.47
  4. Step 4: Simplify right side
    494,556.57x = 152,998,440,328.58
  5. Step 5: Solve for x
    x = 152,998,440,328.58/494,556.57
  6. Step 6: Final answer
    x = 309,364.89

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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.