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Finding the Fourth Proportional to 312,714.73, 469,067.64 and 76,057.84

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Solution

The fourth proportional to 312,714.73, 469,067.64 and 76,057.84 is: 114,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,714.73 : 469,067.64 = 76,057.84 : x
  2. Step 2: Convert to fraction form
    312,714.73/469,067.64 = 76,057.84/x
  3. Step 3: Cross multiply
    312,714.73x = 469,067.64 × 76,057.84
  4. Step 4: Simplify right side
    312,714.73x = 35,676,271,512.30
  5. Step 5: Solve for x
    x = 35,676,271,512.30/312,714.73
  6. Step 6: Final answer
    x = 114,085.68

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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.