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Finding the Fourth Proportional to 394,231.60, 591,023.40 and 169,764.40

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Solution

The fourth proportional to 394,231.60, 591,023.40 and 169,764.40 is: 254,507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,231.60 : 591,023.40 = 169,764.40 : x
  2. Step 2: Convert to fraction form
    394,231.60/591,023.40 = 169,764.40/x
  3. Step 3: Cross multiply
    394,231.60x = 591,023.40 × 169,764.40
  4. Step 4: Simplify right side
    394,231.60x = 100,334,732,886.96
  5. Step 5: Solve for x
    x = 100,334,732,886.96/394,231.60
  6. Step 6: Final answer
    x = 254,507.08

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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.