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Finding the Fourth Proportional to 331,667, 457,712.82 and 188,451.32

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Solution

The fourth proportional to 331,667, 457,712.82 and 188,451.32 is: 260,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,667 : 457,712.82 = 188,451.32 : x
  2. Step 2: Convert to fraction form
    331,667/457,712.82 = 188,451.32/x
  3. Step 3: Cross multiply
    331,667x = 457,712.82 × 188,451.32
  4. Step 4: Simplify right side
    331,667x = 86,256,585,109.92
  5. Step 5: Solve for x
    x = 86,256,585,109.92/331,667
  6. Step 6: Final answer
    x = 260,069.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.