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Finding the Fourth Proportional to 468,942.46, 647,138.38 and 254,082.46

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Solution

The fourth proportional to 468,942.46, 647,138.38 and 254,082.46 is: 350,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,942.46 : 647,138.38 = 254,082.46 : x
  2. Step 2: Convert to fraction form
    468,942.46/647,138.38 = 254,082.46/x
  3. Step 3: Cross multiply
    468,942.46x = 647,138.38 × 254,082.46
  4. Step 4: Simplify right side
    468,942.46x = 164,426,511,550.82
  5. Step 5: Solve for x
    x = 164,426,511,550.82/468,942.46
  6. Step 6: Final answer
    x = 350,632.59

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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.