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Finding the Fourth Proportional to 496,889.78, 685,711.17 and 282,033.43

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Solution

The fourth proportional to 496,889.78, 685,711.17 and 282,033.43 is: 389,207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,889.78 : 685,711.17 = 282,033.43 : x
  2. Step 2: Convert to fraction form
    496,889.78/685,711.17 = 282,033.43/x
  3. Step 3: Cross multiply
    496,889.78x = 685,711.17 × 282,033.43
  4. Step 4: Simplify right side
    496,889.78x = 193,393,471,550.14
  5. Step 5: Solve for x
    x = 193,393,471,550.14/496,889.78
  6. Step 6: Final answer
    x = 389,207.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.