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Finding the Fourth Proportional to 816,229, 1,224,414.06 and 225,253

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Solution

The fourth proportional to 816,229, 1,224,414.06 and 225,253 is: 337,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,229 : 1,224,414.06 = 225,253 : x
  2. Step 2: Convert to fraction form
    816,229/1,224,414.06 = 225,253/x
  3. Step 3: Cross multiply
    816,229x = 1,224,414.06 × 225,253
  4. Step 4: Simplify right side
    816,229x = 275,802,940,257.18
  5. Step 5: Solve for x
    x = 275,802,940,257.18/816,229
  6. Step 6: Final answer
    x = 337,898.97

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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.