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Finding the Fourth Proportional to 422,122.30, 582,529.71 and 228,532.05

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Solution

The fourth proportional to 422,122.30, 582,529.71 and 228,532.05 is: 315,374.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,122.30 : 582,529.71 = 228,532.05 : x
  2. Step 2: Convert to fraction form
    422,122.30/582,529.71 = 228,532.05/x
  3. Step 3: Cross multiply
    422,122.30x = 582,529.71 × 228,532.05
  4. Step 4: Simplify right side
    422,122.30x = 133,126,705,899.56
  5. Step 5: Solve for x
    x = 133,126,705,899.56/422,122.30
  6. Step 6: Final answer
    x = 315,374.73

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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.