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Finding the Fourth Proportional to 468,900.80, 647,082.24 and 254,046.20

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Solution

The fourth proportional to 468,900.80, 647,082.24 and 254,046.20 is: 350,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,900.80 : 647,082.24 = 254,046.20 : x
  2. Step 2: Convert to fraction form
    468,900.80/647,082.24 = 254,046.20/x
  3. Step 3: Cross multiply
    468,900.80x = 647,082.24 × 254,046.20
  4. Step 4: Simplify right side
    468,900.80x = 164,388,784,159.49
  5. Step 5: Solve for x
    x = 164,388,784,159.49/468,900.80
  6. Step 6: Final answer
    x = 350,583.29

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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.