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Finding the Fourth Proportional to 444,491.97, 666,922.53 and 284,748

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Solution

The fourth proportional to 444,491.97, 666,922.53 and 284,748 is: 427,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,491.97 : 666,922.53 = 284,748 : x
  2. Step 2: Convert to fraction form
    444,491.97/666,922.53 = 284,748/x
  3. Step 3: Cross multiply
    444,491.97x = 666,922.53 × 284,748
  4. Step 4: Simplify right side
    444,491.97x = 189,904,856,572.44
  5. Step 5: Solve for x
    x = 189,904,856,572.44/444,491.97
  6. Step 6: Final answer
    x = 427,240.24

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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.