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Finding the Fourth Proportional to 297,238.72, 445,764.42 and 97,512.57

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Solution

The fourth proportional to 297,238.72, 445,764.42 and 97,512.57 is: 146,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,238.72 : 445,764.42 = 97,512.57 : x
  2. Step 2: Convert to fraction form
    297,238.72/445,764.42 = 97,512.57/x
  3. Step 3: Cross multiply
    297,238.72x = 445,764.42 × 97,512.57
  4. Step 4: Simplify right side
    297,238.72x = 43,467,631,492.37
  5. Step 5: Solve for x
    x = 43,467,631,492.37/297,238.72
  6. Step 6: Final answer
    x = 146,238.12

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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.