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Finding the Fourth Proportional to 383,227.56, 574,797.60 and 102,722.94

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Solution

The fourth proportional to 383,227.56, 574,797.60 and 102,722.94 is: 154,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,227.56 : 574,797.60 = 102,722.94 : x
  2. Step 2: Convert to fraction form
    383,227.56/574,797.60 = 102,722.94/x
  3. Step 3: Cross multiply
    383,227.56x = 574,797.60 × 102,722.94
  4. Step 4: Simplify right side
    383,227.56x = 59,044,899,376.94
  5. Step 5: Solve for x
    x = 59,044,899,376.94/383,227.56
  6. Step 6: Final answer
    x = 154,072.69

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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.