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Finding the Fourth Proportional to 299,449.28, 449,113.16 and 109,845.10

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Solution

The fourth proportional to 299,449.28, 449,113.16 and 109,845.10 is: 164,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,449.28 : 449,113.16 = 109,845.10 : x
  2. Step 2: Convert to fraction form
    299,449.28/449,113.16 = 109,845.10/x
  3. Step 3: Cross multiply
    299,449.28x = 449,113.16 × 109,845.10
  4. Step 4: Simplify right side
    299,449.28x = 49,332,879,971.52
  5. Step 5: Solve for x
    x = 49,332,879,971.52/299,449.28
  6. Step 6: Final answer
    x = 164,745.36

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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.