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Finding the Fourth Proportional to 502,086.44, 692,891.34 and 275,736.80

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Solution

The fourth proportional to 502,086.44, 692,891.34 and 275,736.80 is: 380,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,086.44 : 692,891.34 = 275,736.80 : x
  2. Step 2: Convert to fraction form
    502,086.44/692,891.34 = 275,736.80/x
  3. Step 3: Cross multiply
    502,086.44x = 692,891.34 × 275,736.80
  4. Step 4: Simplify right side
    502,086.44x = 191,055,640,839.31
  5. Step 5: Solve for x
    x = 191,055,640,839.31/502,086.44
  6. Step 6: Final answer
    x = 380,523.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.