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Finding the Fourth Proportional to 422,761.38, 583,410.66 and 231,776.10

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Solution

The fourth proportional to 422,761.38, 583,410.66 and 231,776.10 is: 319,850.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,761.38 : 583,410.66 = 231,776.10 : x
  2. Step 2: Convert to fraction form
    422,761.38/583,410.66 = 231,776.10/x
  3. Step 3: Cross multiply
    422,761.38x = 583,410.66 × 231,776.10
  4. Step 4: Simplify right side
    422,761.38x = 135,220,647,473.23
  5. Step 5: Solve for x
    x = 135,220,647,473.23/422,761.38
  6. Step 6: Final answer
    x = 319,850.99

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1.5x scale

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.