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Finding the Fourth Proportional to 422,965.08, 583,708.18 and 231,986.52

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Solution

The fourth proportional to 422,965.08, 583,708.18 and 231,986.52 is: 320,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,965.08 : 583,708.18 = 231,986.52 : x
  2. Step 2: Convert to fraction form
    422,965.08/583,708.18 = 231,986.52/x
  3. Step 3: Cross multiply
    422,965.08x = 583,708.18 × 231,986.52
  4. Step 4: Simplify right side
    422,965.08x = 135,412,429,373.73
  5. Step 5: Solve for x
    x = 135,412,429,373.73/422,965.08
  6. Step 6: Final answer
    x = 320,150.38

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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.