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Finding the Fourth Proportional to 297,238.97, 445,764.79 and 97,512.82

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Solution

The fourth proportional to 297,238.97, 445,764.79 and 97,512.82 is: 146,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,238.97 : 445,764.79 = 97,512.82 : x
  2. Step 2: Convert to fraction form
    297,238.97/445,764.79 = 97,512.82/x
  3. Step 3: Cross multiply
    297,238.97x = 445,764.79 × 97,512.82
  4. Step 4: Simplify right side
    297,238.97x = 43,467,780,371.41
  5. Step 5: Solve for x
    x = 43,467,780,371.41/297,238.97
  6. Step 6: Final answer
    x = 146,238.50

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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.