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Finding the Fourth Proportional to 422,364.30, 582,877.23 and 231,377.64

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Solution

The fourth proportional to 422,364.30, 582,877.23 and 231,377.64 is: 319,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,364.30 : 582,877.23 = 231,377.64 : x
  2. Step 2: Convert to fraction form
    422,364.30/582,877.23 = 231,377.64/x
  3. Step 3: Cross multiply
    422,364.30x = 582,877.23 × 231,377.64
  4. Step 4: Simplify right side
    422,364.30x = 134,864,757,887.14
  5. Step 5: Solve for x
    x = 134,864,757,887.14/422,364.30
  6. Step 6: Final answer
    x = 319,309.08

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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.