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Finding the Fourth Proportional to 471,525.22, 650,789.13 and 301,753.54

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Solution

The fourth proportional to 471,525.22, 650,789.13 and 301,753.54 is: 416,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,525.22 : 650,789.13 = 301,753.54 : x
  2. Step 2: Convert to fraction form
    471,525.22/650,789.13 = 301,753.54/x
  3. Step 3: Cross multiply
    471,525.22x = 650,789.13 × 301,753.54
  4. Step 4: Simplify right side
    471,525.22x = 196,377,923,771.02
  5. Step 5: Solve for x
    x = 196,377,923,771.02/471,525.22
  6. Step 6: Final answer
    x = 416,473.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.