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Finding the Fourth Proportional to 474,023.22, 711,105.63 and 174,481.02

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Solution

The fourth proportional to 474,023.22, 711,105.63 and 174,481.02 is: 261,747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,023.22 : 711,105.63 = 174,481.02 : x
  2. Step 2: Convert to fraction form
    474,023.22/711,105.63 = 174,481.02/x
  3. Step 3: Cross multiply
    474,023.22x = 711,105.63 × 174,481.02
  4. Step 4: Simplify right side
    474,023.22x = 124,074,435,977.30
  5. Step 5: Solve for x
    x = 124,074,435,977.30/474,023.22
  6. Step 6: Final answer
    x = 261,747.59

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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.