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Finding the Fourth Proportional to 468,173.75, 646,082.78 and 274,542.03

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Solution

The fourth proportional to 468,173.75, 646,082.78 and 274,542.03 is: 378,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,173.75 : 646,082.78 = 274,542.03 : x
  2. Step 2: Convert to fraction form
    468,173.75/646,082.78 = 274,542.03/x
  3. Step 3: Cross multiply
    468,173.75x = 646,082.78 × 274,542.03
  4. Step 4: Simplify right side
    468,173.75x = 177,376,876,596.53
  5. Step 5: Solve for x
    x = 177,376,876,596.53/468,173.75
  6. Step 6: Final answer
    x = 378,869.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.