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Finding the Fourth Proportional to 299,957.27, 449,797.31 and 110,370.11

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Solution

The fourth proportional to 299,957.27, 449,797.31 and 110,370.11 is: 165,504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,957.27 : 449,797.31 = 110,370.11 : x
  2. Step 2: Convert to fraction form
    299,957.27/449,797.31 = 110,370.11/x
  3. Step 3: Cross multiply
    299,957.27x = 449,797.31 × 110,370.11
  4. Step 4: Simplify right side
    299,957.27x = 49,644,178,030.55
  5. Step 5: Solve for x
    x = 49,644,178,030.55/299,957.27
  6. Step 6: Final answer
    x = 165,504.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.