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Finding the Fourth Proportional to 786,493, 1,179,743.82 and 195,517

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Solution

The fourth proportional to 786,493, 1,179,743.82 and 195,517 is: 293,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,493 : 1,179,743.82 = 195,517 : x
  2. Step 2: Convert to fraction form
    786,493/1,179,743.82 = 195,517/x
  3. Step 3: Cross multiply
    786,493x = 1,179,743.82 × 195,517
  4. Step 4: Simplify right side
    786,493x = 230,659,972,454.94
  5. Step 5: Solve for x
    x = 230,659,972,454.94/786,493
  6. Step 6: Final answer
    x = 293,276.57

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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.