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Finding the Fourth Proportional to 422,870.97, 583,588.52 and 231,884.36

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Solution

The fourth proportional to 422,870.97, 583,588.52 and 231,884.36 is: 320,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,870.97 : 583,588.52 = 231,884.36 : x
  2. Step 2: Convert to fraction form
    422,870.97/583,588.52 = 231,884.36/x
  3. Step 3: Cross multiply
    422,870.97x = 583,588.52 × 231,884.36
  4. Step 4: Simplify right side
    422,870.97x = 135,325,050,463.55
  5. Step 5: Solve for x
    x = 135,325,050,463.55/422,870.97
  6. Step 6: Final answer
    x = 320,014.99

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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.