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Finding the Fourth Proportional to 421,916.88, 582,243.16 and 228,324.44

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Solution

The fourth proportional to 421,916.88, 582,243.16 and 228,324.44 is: 315,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,916.88 : 582,243.16 = 228,324.44 : x
  2. Step 2: Convert to fraction form
    421,916.88/582,243.16 = 228,324.44/x
  3. Step 3: Cross multiply
    421,916.88x = 582,243.16 × 228,324.44
  4. Step 4: Simplify right side
    421,916.88x = 132,940,343,450.83
  5. Step 5: Solve for x
    x = 132,940,343,450.83/421,916.88
  6. Step 6: Final answer
    x = 315,086.57

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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.