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Finding the Fourth Proportional to 421,905.46, 582,231.06 and 228,313.15

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Solution

The fourth proportional to 421,905.46, 582,231.06 and 228,313.15 is: 315,072.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,905.46 : 582,231.06 = 228,313.15 : x
  2. Step 2: Convert to fraction form
    421,905.46/582,231.06 = 228,313.15/x
  3. Step 3: Cross multiply
    421,905.46x = 582,231.06 × 228,313.15
  4. Step 4: Simplify right side
    421,905.46x = 132,931,007,336.44
  5. Step 5: Solve for x
    x = 132,931,007,336.44/421,905.46
  6. Step 6: Final answer
    x = 315,072.97

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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.