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Finding the Fourth Proportional to 422,718.13, 583,337.46 and 231,727.42

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Solution

The fourth proportional to 422,718.13, 583,337.46 and 231,727.42 is: 319,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,718.13 : 583,337.46 = 231,727.42 : x
  2. Step 2: Convert to fraction form
    422,718.13/583,337.46 = 231,727.42/x
  3. Step 3: Cross multiply
    422,718.13x = 583,337.46 × 231,727.42
  4. Step 4: Simplify right side
    422,718.13x = 135,175,284,595.15
  5. Step 5: Solve for x
    x = 135,175,284,595.15/422,718.13
  6. Step 6: Final answer
    x = 319,776.41

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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.