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Finding the Fourth Proportional to 471,076.28, 706,186.79 and 171,344.96

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Solution

The fourth proportional to 471,076.28, 706,186.79 and 171,344.96 is: 256,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,076.28 : 706,186.79 = 171,344.96 : x
  2. Step 2: Convert to fraction form
    471,076.28/706,186.79 = 171,344.96/x
  3. Step 3: Cross multiply
    471,076.28x = 706,186.79 × 171,344.96
  4. Step 4: Simplify right side
    471,076.28x = 121,001,546,188.16
  5. Step 5: Solve for x
    x = 121,001,546,188.16/471,076.28
  6. Step 6: Final answer
    x = 256,861.90

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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.