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Finding the Fourth Proportional to 299,734.34, 449,778.83 and 110,327.72

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Solution

The fourth proportional to 299,734.34, 449,778.83 and 110,327.72 is: 165,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,734.34 : 449,778.83 = 110,327.72 : x
  2. Step 2: Convert to fraction form
    299,734.34/449,778.83 = 110,327.72/x
  3. Step 3: Cross multiply
    299,734.34x = 449,778.83 × 110,327.72
  4. Step 4: Simplify right side
    299,734.34x = 49,623,070,017.63
  5. Step 5: Solve for x
    x = 49,623,070,017.63/299,734.34
  6. Step 6: Final answer
    x = 165,556.84

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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.