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Finding the Fourth Proportional to 383,589.87, 529,382.84 and 222,443.50

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Solution

The fourth proportional to 383,589.87, 529,382.84 and 222,443.50 is: 306,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,589.87 : 529,382.84 = 222,443.50 : x
  2. Step 2: Convert to fraction form
    383,589.87/529,382.84 = 222,443.50/x
  3. Step 3: Cross multiply
    383,589.87x = 529,382.84 × 222,443.50
  4. Step 4: Simplify right side
    383,589.87x = 117,757,771,769.54
  5. Step 5: Solve for x
    x = 117,757,771,769.54/383,589.87
  6. Step 6: Final answer
    x = 306,988.74

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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.