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Finding the Fourth Proportional to 422,597.43, 583,183.28 and 229,010.50

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Solution

The fourth proportional to 422,597.43, 583,183.28 and 229,010.50 is: 316,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,597.43 : 583,183.28 = 229,010.50 : x
  2. Step 2: Convert to fraction form
    422,597.43/583,183.28 = 229,010.50/x
  3. Step 3: Cross multiply
    422,597.43x = 583,183.28 × 229,010.50
  4. Step 4: Simplify right side
    422,597.43x = 133,555,094,544.44
  5. Step 5: Solve for x
    x = 133,555,094,544.44/422,597.43
  6. Step 6: Final answer
    x = 316,033.85

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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.