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Finding the Fourth Proportional to 413,481.70, 620,110.54 and 113,891.02

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Solution

The fourth proportional to 413,481.70, 620,110.54 and 113,891.02 is: 170,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,481.70 : 620,110.54 = 113,891.02 : x
  2. Step 2: Convert to fraction form
    413,481.70/620,110.54 = 113,891.02/x
  3. Step 3: Cross multiply
    413,481.70x = 620,110.54 × 113,891.02
  4. Step 4: Simplify right side
    413,481.70x = 70,625,021,608.86
  5. Step 5: Solve for x
    x = 70,625,021,608.86/413,481.70
  6. Step 6: Final answer
    x = 170,805.68

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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.