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Finding the Fourth Proportional to 422,469.15, 583,007.67 and 231,482.49

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Solution

The fourth proportional to 422,469.15, 583,007.67 and 231,482.49 is: 319,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,469.15 : 583,007.67 = 231,482.49 : x
  2. Step 2: Convert to fraction form
    422,469.15/583,007.67 = 231,482.49/x
  3. Step 3: Cross multiply
    422,469.15x = 583,007.67 × 231,482.49
  4. Step 4: Simplify right side
    422,469.15x = 134,956,067,140.70
  5. Step 5: Solve for x
    x = 134,956,067,140.70/422,469.15
  6. Step 6: Final answer
    x = 319,445.97

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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.