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Finding the Fourth Proportional to 422,188.02, 582,620.31 and 228,597.75

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Solution

The fourth proportional to 422,188.02, 582,620.31 and 228,597.75 is: 315,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,188.02 : 582,620.31 = 228,597.75 : x
  2. Step 2: Convert to fraction form
    422,188.02/582,620.31 = 228,597.75/x
  3. Step 3: Cross multiply
    422,188.02x = 582,620.31 × 228,597.75
  4. Step 4: Simplify right side
    422,188.02x = 133,185,691,970.30
  5. Step 5: Solve for x
    x = 133,185,691,970.30/422,188.02
  6. Step 6: Final answer
    x = 315,465.35

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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.