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Finding the Fourth Proportional to 275,714.70, 413,025.30 and 242,836.80

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Solution

The fourth proportional to 275,714.70, 413,025.30 and 242,836.80 is: 363,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,714.70 : 413,025.30 = 242,836.80 : x
  2. Step 2: Convert to fraction form
    275,714.70/413,025.30 = 242,836.80/x
  3. Step 3: Cross multiply
    275,714.70x = 413,025.30 × 242,836.80
  4. Step 4: Simplify right side
    275,714.70x = 100,297,742,171.04
  5. Step 5: Solve for x
    x = 100,297,742,171.04/275,714.70
  6. Step 6: Final answer
    x = 363,773.65

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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.