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Finding the Fourth Proportional to 448,714.26, 673,077.26 and 149,194.84

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Solution

The fourth proportional to 448,714.26, 673,077.26 and 149,194.84 is: 223,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,714.26 : 673,077.26 = 149,194.84 : x
  2. Step 2: Convert to fraction form
    448,714.26/673,077.26 = 149,194.84/x
  3. Step 3: Cross multiply
    448,714.26x = 673,077.26 × 149,194.84
  4. Step 4: Simplify right side
    448,714.26x = 100,419,654,113.34
  5. Step 5: Solve for x
    x = 100,419,654,113.34/448,714.26
  6. Step 6: Final answer
    x = 223,794.21

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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.