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Finding the Fourth Proportional to 383,828.38, 529,511.92 and 222,589.98

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Solution

The fourth proportional to 383,828.38, 529,511.92 and 222,589.98 is: 307,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,828.38 : 529,511.92 = 222,589.98 : x
  2. Step 2: Convert to fraction form
    383,828.38/529,511.92 = 222,589.98/x
  3. Step 3: Cross multiply
    383,828.38x = 529,511.92 × 222,589.98
  4. Step 4: Simplify right side
    383,828.38x = 117,864,047,126.09
  5. Step 5: Solve for x
    x = 117,864,047,126.09/383,828.38
  6. Step 6: Final answer
    x = 307,074.86

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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.