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Finding the Fourth Proportional to 383,522.44, 529,279.08 and 213,757.80

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Solution

The fourth proportional to 383,522.44, 529,279.08 and 213,757.80 is: 294,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,522.44 : 529,279.08 = 213,757.80 : x
  2. Step 2: Convert to fraction form
    383,522.44/529,279.08 = 213,757.80/x
  3. Step 3: Cross multiply
    383,522.44x = 529,279.08 × 213,757.80
  4. Step 4: Simplify right side
    383,522.44x = 113,137,531,726.82
  5. Step 5: Solve for x
    x = 113,137,531,726.82/383,522.44
  6. Step 6: Final answer
    x = 294,995.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.