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Finding the Fourth Proportional to 650,452.56, 897,561.32 and 378,556.49

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Solution

The fourth proportional to 650,452.56, 897,561.32 and 378,556.49 is: 522,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,452.56 : 897,561.32 = 378,556.49 : x
  2. Step 2: Convert to fraction form
    650,452.56/897,561.32 = 378,556.49/x
  3. Step 3: Cross multiply
    650,452.56x = 897,561.32 × 378,556.49
  4. Step 4: Simplify right side
    650,452.56x = 339,777,656,478.38
  5. Step 5: Solve for x
    x = 339,777,656,478.38/650,452.56
  6. Step 6: Final answer
    x = 522,371.16

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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.