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Finding the Fourth Proportional to 382,809.75, 574,170.89 and 102,348.87

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Solution

The fourth proportional to 382,809.75, 574,170.89 and 102,348.87 is: 153,511.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,809.75 : 574,170.89 = 102,348.87 : x
  2. Step 2: Convert to fraction form
    382,809.75/574,170.89 = 102,348.87/x
  3. Step 3: Cross multiply
    382,809.75x = 574,170.89 × 102,348.87
  4. Step 4: Simplify right side
    382,809.75x = 58,765,741,266.65
  5. Step 5: Solve for x
    x = 58,765,741,266.65/382,809.75
  6. Step 6: Final answer
    x = 153,511.61

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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.