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Finding the Fourth Proportional to 816,174, 1,224,331.56 and 225,198

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Solution

The fourth proportional to 816,174, 1,224,331.56 and 225,198 is: 337,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,174 : 1,224,331.56 = 225,198 : x
  2. Step 2: Convert to fraction form
    816,174/1,224,331.56 = 225,198/x
  3. Step 3: Cross multiply
    816,174x = 1,224,331.56 × 225,198
  4. Step 4: Simplify right side
    816,174x = 275,717,018,648.88
  5. Step 5: Solve for x
    x = 275,717,018,648.88/816,174
  6. Step 6: Final answer
    x = 337,816.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.