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Finding the Fourth Proportional to 412,340.94, 617,735.43 and 323,324.10

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Solution

The fourth proportional to 412,340.94, 617,735.43 and 323,324.10 is: 484,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,340.94 : 617,735.43 = 323,324.10 : x
  2. Step 2: Convert to fraction form
    412,340.94/617,735.43 = 323,324.10/x
  3. Step 3: Cross multiply
    412,340.94x = 617,735.43 × 323,324.10
  4. Step 4: Simplify right side
    412,340.94x = 199,728,751,942.86
  5. Step 5: Solve for x
    x = 199,728,751,942.86/412,340.94
  6. Step 6: Final answer
    x = 484,377.69

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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.