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Finding the Fourth Proportional to 360,260.87, 497,185.75 and 199,112.43

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Solution

The fourth proportional to 360,260.87, 497,185.75 and 199,112.43 is: 274,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,260.87 : 497,185.75 = 199,112.43 : x
  2. Step 2: Convert to fraction form
    360,260.87/497,185.75 = 199,112.43/x
  3. Step 3: Cross multiply
    360,260.87x = 497,185.75 × 199,112.43
  4. Step 4: Simplify right side
    360,260.87x = 98,995,861,040.53
  5. Step 5: Solve for x
    x = 98,995,861,040.53/360,260.87
  6. Step 6: Final answer
    x = 274,789.38

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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.