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Finding the Fourth Proportional to 471,078.28, 706,189.79 and 171,346.96

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Solution

The fourth proportional to 471,078.28, 706,189.79 and 171,346.96 is: 256,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,078.28 : 706,189.79 = 171,346.96 : x
  2. Step 2: Convert to fraction form
    471,078.28/706,189.79 = 171,346.96/x
  3. Step 3: Cross multiply
    471,078.28x = 706,189.79 × 171,346.96
  4. Step 4: Simplify right side
    471,078.28x = 121,003,469,311.86
  5. Step 5: Solve for x
    x = 121,003,469,311.86/471,078.28
  6. Step 6: Final answer
    x = 256,864.89

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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.