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Finding the Fourth Proportional to 299,796.57, 449,871.94 and 110,389.91

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Solution

The fourth proportional to 299,796.57, 449,871.94 and 110,389.91 is: 165,650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,796.57 : 449,871.94 = 110,389.91 : x
  2. Step 2: Convert to fraction form
    299,796.57/449,871.94 = 110,389.91/x
  3. Step 3: Cross multiply
    299,796.57x = 449,871.94 × 110,389.91
  4. Step 4: Simplify right side
    299,796.57x = 49,661,322,968.13
  5. Step 5: Solve for x
    x = 49,661,322,968.13/299,796.57
  6. Step 6: Final answer
    x = 165,650.07

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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.