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Finding the Fourth Proportional to 422,101.94, 582,447.31 and 336,278.59

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Solution

The fourth proportional to 422,101.94, 582,447.31 and 336,278.59 is: 464,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,101.94 : 582,447.31 = 336,278.59 : x
  2. Step 2: Convert to fraction form
    422,101.94/582,447.31 = 336,278.59/x
  3. Step 3: Cross multiply
    422,101.94x = 582,447.31 × 336,278.59
  4. Step 4: Simplify right side
    422,101.94x = 195,864,557,859.28
  5. Step 5: Solve for x
    x = 195,864,557,859.28/422,101.94
  6. Step 6: Final answer
    x = 464,021.94

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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.