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Finding the Fourth Proportional to 288,067.60, 431,734.20 and 161,707.60

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Solution

The fourth proportional to 288,067.60, 431,734.20 and 161,707.60 is: 242,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,067.60 : 431,734.20 = 161,707.60 : x
  2. Step 2: Convert to fraction form
    288,067.60/431,734.20 = 161,707.60/x
  3. Step 3: Cross multiply
    288,067.60x = 431,734.20 × 161,707.60
  4. Step 4: Simplify right side
    288,067.60x = 69,814,701,319.92
  5. Step 5: Solve for x
    x = 69,814,701,319.92/288,067.60
  6. Step 6: Final answer
    x = 242,355.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.