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Finding the Fourth Proportional to 378,956.48, 568,150.20 and 229,166.01

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Solution

The fourth proportional to 378,956.48, 568,150.20 and 229,166.01 is: 343,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,956.48 : 568,150.20 = 229,166.01 : x
  2. Step 2: Convert to fraction form
    378,956.48/568,150.20 = 229,166.01/x
  3. Step 3: Cross multiply
    378,956.48x = 568,150.20 × 229,166.01
  4. Step 4: Simplify right side
    378,956.48x = 130,200,714,414.70
  5. Step 5: Solve for x
    x = 130,200,714,414.70/378,956.48
  6. Step 6: Final answer
    x = 343,576.96

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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.