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Finding the Fourth Proportional to 493,847.00, 740,198.69 and 227,047.58

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Solution

The fourth proportional to 493,847.00, 740,198.69 and 227,047.58 is: 340,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,847.00 : 740,198.69 = 227,047.58 : x
  2. Step 2: Convert to fraction form
    493,847.00/740,198.69 = 227,047.58/x
  3. Step 3: Cross multiply
    493,847.00x = 740,198.69 × 227,047.58
  4. Step 4: Simplify right side
    493,847.00x = 168,060,324,238.23
  5. Step 5: Solve for x
    x = 168,060,324,238.23/493,847.00
  6. Step 6: Final answer
    x = 340,308.48

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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.