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Finding the Fourth Proportional to 297,714.60, 410,843.93 and 161,749.66

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Solution

The fourth proportional to 297,714.60, 410,843.93 and 161,749.66 is: 223,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,714.60 : 410,843.93 = 161,749.66 : x
  2. Step 2: Convert to fraction form
    297,714.60/410,843.93 = 161,749.66/x
  3. Step 3: Cross multiply
    297,714.60x = 410,843.93 × 161,749.66
  4. Step 4: Simplify right side
    297,714.60x = 66,453,865,990.56
  5. Step 5: Solve for x
    x = 66,453,865,990.56/297,714.60
  6. Step 6: Final answer
    x = 223,213.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.