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Finding the Fourth Proportional to 816,229.50, 1,224,414.81 and 225,253.50

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Solution

The fourth proportional to 816,229.50, 1,224,414.81 and 225,253.50 is: 337,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,229.50 : 1,224,414.81 = 225,253.50 : x
  2. Step 2: Convert to fraction form
    816,229.50/1,224,414.81 = 225,253.50/x
  3. Step 3: Cross multiply
    816,229.50x = 1,224,414.81 × 225,253.50
  4. Step 4: Simplify right side
    816,229.50x = 275,803,721,404.34
  5. Step 5: Solve for x
    x = 275,803,721,404.34/816,229.50
  6. Step 6: Final answer
    x = 337,899.72

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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.