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Finding the Fourth Proportional to 412,174.56, 618,273.99 and 351,822.52

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Solution

The fourth proportional to 412,174.56, 618,273.99 and 351,822.52 is: 527,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,174.56 : 618,273.99 = 351,822.52 : x
  2. Step 2: Convert to fraction form
    412,174.56/618,273.99 = 351,822.52/x
  3. Step 3: Cross multiply
    412,174.56x = 618,273.99 × 351,822.52
  4. Step 4: Simplify right side
    412,174.56x = 217,522,708,361.77
  5. Step 5: Solve for x
    x = 217,522,708,361.77/412,174.56
  6. Step 6: Final answer
    x = 527,744.14

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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.