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Finding the Fourth Proportional to 415,460.56, 623,274.68 and 131,195.52

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Solution

The fourth proportional to 415,460.56, 623,274.68 and 131,195.52 is: 196,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,460.56 : 623,274.68 = 131,195.52 : x
  2. Step 2: Convert to fraction form
    415,460.56/623,274.68 = 131,195.52/x
  3. Step 3: Cross multiply
    415,460.56x = 623,274.68 × 131,195.52
  4. Step 4: Simplify right side
    415,460.56x = 81,770,845,745.43
  5. Step 5: Solve for x
    x = 81,770,845,745.43/415,460.56
  6. Step 6: Final answer
    x = 196,819.76

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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.