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Finding the Fourth Proportional to 412,049.64, 618,334.47 and 175,391.94

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Solution

The fourth proportional to 412,049.64, 618,334.47 and 175,391.94 is: 263,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,049.64 : 618,334.47 = 175,391.94 : x
  2. Step 2: Convert to fraction form
    412,049.64/618,334.47 = 175,391.94/x
  3. Step 3: Cross multiply
    412,049.64x = 618,334.47 × 175,391.94
  4. Step 4: Simplify right side
    412,049.64x = 108,450,882,262.17
  5. Step 5: Solve for x
    x = 108,450,882,262.17/412,049.64
  6. Step 6: Final answer
    x = 263,198.59

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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.