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Finding the Fourth Proportional to 297,714.60, 446,564.70 and 179,296.20

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Solution

The fourth proportional to 297,714.60, 446,564.70 and 179,296.20 is: 268,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,714.60 : 446,564.70 = 179,296.20 : x
  2. Step 2: Convert to fraction form
    297,714.60/446,564.70 = 179,296.20/x
  3. Step 3: Cross multiply
    297,714.60x = 446,564.70 × 179,296.20
  4. Step 4: Simplify right side
    297,714.60x = 80,067,353,764.14
  5. Step 5: Solve for x
    x = 80,067,353,764.14/297,714.60
  6. Step 6: Final answer
    x = 268,939.96

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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.