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Finding the Fourth Proportional to 299,468.96, 449,046.86 and 109,880.66

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Solution

The fourth proportional to 299,468.96, 449,046.86 and 109,880.66 is: 164,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,468.96 : 449,046.86 = 109,880.66 : x
  2. Step 2: Convert to fraction form
    299,468.96/449,046.86 = 109,880.66/x
  3. Step 3: Cross multiply
    299,468.96x = 449,046.86 × 109,880.66
  4. Step 4: Simplify right side
    299,468.96x = 49,341,565,920.94
  5. Step 5: Solve for x
    x = 49,341,565,920.94/299,468.96
  6. Step 6: Final answer
    x = 164,763.54

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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.