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Finding the Fourth Proportional to 299,787.57, 413,516.61 and 228,010.23

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Solution

The fourth proportional to 299,787.57, 413,516.61 and 228,010.23 is: 314,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,787.57 : 413,516.61 = 228,010.23 : x
  2. Step 2: Convert to fraction form
    299,787.57/413,516.61 = 228,010.23/x
  3. Step 3: Cross multiply
    299,787.57x = 413,516.61 × 228,010.23
  4. Step 4: Simplify right side
    299,787.57x = 94,286,017,354.92
  5. Step 5: Solve for x
    x = 94,286,017,354.92/299,787.57
  6. Step 6: Final answer
    x = 314,509.43

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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.