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Finding the Fourth Proportional to 422,633.93, 583,234.79 and 231,643.22

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Solution

The fourth proportional to 422,633.93, 583,234.79 and 231,643.22 is: 319,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,633.93 : 583,234.79 = 231,643.22 : x
  2. Step 2: Convert to fraction form
    422,633.93/583,234.79 = 231,643.22/x
  3. Step 3: Cross multiply
    422,633.93x = 583,234.79 × 231,643.22
  4. Step 4: Simplify right side
    422,633.93x = 135,102,380,697.23
  5. Step 5: Solve for x
    x = 135,102,380,697.23/422,633.93
  6. Step 6: Final answer
    x = 319,667.62

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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.