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Finding the Fourth Proportional to 468,964.87, 647,172.09 and 254,104.76

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Solution

The fourth proportional to 468,964.87, 647,172.09 and 254,104.76 is: 350,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,964.87 : 647,172.09 = 254,104.76 : x
  2. Step 2: Convert to fraction form
    468,964.87/647,172.09 = 254,104.76/x
  3. Step 3: Cross multiply
    468,964.87x = 647,172.09 × 254,104.76
  4. Step 4: Simplify right side
    468,964.87x = 164,449,510,226.08
  5. Step 5: Solve for x
    x = 164,449,510,226.08/468,964.87
  6. Step 6: Final answer
    x = 350,664.88

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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.