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Finding the Fourth Proportional to 574,738, 862,503.09 and 200,761

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Solution

The fourth proportional to 574,738, 862,503.09 and 200,761 is: 301,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,738 : 862,503.09 = 200,761 : x
  2. Step 2: Convert to fraction form
    574,738/862,503.09 = 200,761/x
  3. Step 3: Cross multiply
    574,738x = 862,503.09 × 200,761
  4. Step 4: Simplify right side
    574,738x = 173,156,982,851.49
  5. Step 5: Solve for x
    x = 173,156,982,851.49/574,738
  6. Step 6: Final answer
    x = 301,279.86

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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.