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Finding the Fourth Proportional to 383,157, 574,999.56 and 133,839

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Solution

The fourth proportional to 383,157, 574,999.56 and 133,839 is: 200,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,157 : 574,999.56 = 133,839 : x
  2. Step 2: Convert to fraction form
    383,157/574,999.56 = 133,839/x
  3. Step 3: Cross multiply
    383,157x = 574,999.56 × 133,839
  4. Step 4: Simplify right side
    383,157x = 76,957,366,110.84
  5. Step 5: Solve for x
    x = 76,957,366,110.84/383,157
  6. Step 6: Final answer
    x = 200,850.74

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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.