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Finding the Fourth Proportional to 496,843.92, 685,168.20 and 333,868.68

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Solution

The fourth proportional to 496,843.92, 685,168.20 and 333,868.68 is: 460,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,843.92 : 685,168.20 = 333,868.68 : x
  2. Step 2: Convert to fraction form
    496,843.92/685,168.20 = 333,868.68/x
  3. Step 3: Cross multiply
    496,843.92x = 685,168.20 × 333,868.68
  4. Step 4: Simplify right side
    496,843.92x = 228,756,202,511.98
  5. Step 5: Solve for x
    x = 228,756,202,511.98/496,843.92
  6. Step 6: Final answer
    x = 460,418.64

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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.