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Finding the Fourth Proportional to 453,728, 680,694.42 and 150,121.47

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Solution

The fourth proportional to 453,728, 680,694.42 and 150,121.47 is: 225,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,728 : 680,694.42 = 150,121.47 : x
  2. Step 2: Convert to fraction form
    453,728/680,694.42 = 150,121.47/x
  3. Step 3: Cross multiply
    453,728x = 680,694.42 × 150,121.47
  4. Step 4: Simplify right side
    453,728x = 102,186,846,951.20
  5. Step 5: Solve for x
    x = 102,186,846,951.20/453,728
  6. Step 6: Final answer
    x = 225,216.09

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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.