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Finding the Fourth Proportional to 397,693.89, 596,634.27 and 131,454.41

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Solution

The fourth proportional to 397,693.89, 596,634.27 and 131,454.41 is: 197,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,693.89 : 596,634.27 = 131,454.41 : x
  2. Step 2: Convert to fraction form
    397,693.89/596,634.27 = 131,454.41/x
  3. Step 3: Cross multiply
    397,693.89x = 596,634.27 × 131,454.41
  4. Step 4: Simplify right side
    397,693.89x = 78,430,204,709.88
  5. Step 5: Solve for x
    x = 78,430,204,709.88/397,693.89
  6. Step 6: Final answer
    x = 197,212.50

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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.