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Finding the Fourth Proportional to 422,106.95, 582,504.90 and 228,513.24

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Solution

The fourth proportional to 422,106.95, 582,504.90 and 228,513.24 is: 315,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,106.95 : 582,504.90 = 228,513.24 : x
  2. Step 2: Convert to fraction form
    422,106.95/582,504.90 = 228,513.24/x
  3. Step 3: Cross multiply
    422,106.95x = 582,504.90 × 228,513.24
  4. Step 4: Simplify right side
    422,106.95x = 133,110,082,014.88
  5. Step 5: Solve for x
    x = 133,110,082,014.88/422,106.95
  6. Step 6: Final answer
    x = 315,346.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.