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Finding the Fourth Proportional to 422,365.38, 582,864.22 and 252,599.50

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Solution

The fourth proportional to 422,365.38, 582,864.22 and 252,599.50 is: 348,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,365.38 : 582,864.22 = 252,599.50 : x
  2. Step 2: Convert to fraction form
    422,365.38/582,864.22 = 252,599.50/x
  3. Step 3: Cross multiply
    422,365.38x = 582,864.22 × 252,599.50
  4. Step 4: Simplify right side
    422,365.38x = 147,231,210,539.89
  5. Step 5: Solve for x
    x = 147,231,210,539.89/422,365.38
  6. Step 6: Final answer
    x = 348,587.31

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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.