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Finding the Fourth Proportional to 510,954.40, 766,512.60 and 174,026.80

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Solution

The fourth proportional to 510,954.40, 766,512.60 and 174,026.80 is: 261,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,954.40 : 766,512.60 = 174,026.80 : x
  2. Step 2: Convert to fraction form
    510,954.40/766,512.60 = 174,026.80/x
  3. Step 3: Cross multiply
    510,954.40x = 766,512.60 × 174,026.80
  4. Step 4: Simplify right side
    510,954.40x = 133,393,734,937.68
  5. Step 5: Solve for x
    x = 133,393,734,937.68/510,954.40
  6. Step 6: Final answer
    x = 261,067.79

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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.