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Finding the Fourth Proportional to 1,410,687.62, 1,947,344.65 and 952,422.97

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Solution

The fourth proportional to 1,410,687.62, 1,947,344.65 and 952,422.97 is: 1,314,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,687.62 : 1,947,344.65 = 952,422.97 : x
  2. Step 2: Convert to fraction form
    1,410,687.62/1,947,344.65 = 952,422.97/x
  3. Step 3: Cross multiply
    1,410,687.62x = 1,947,344.65 × 952,422.97
  4. Step 4: Simplify right side
    1,410,687.62x = 1,854,695,765,429.89
  5. Step 5: Solve for x
    x = 1,854,695,765,429.89/1,410,687.62
  6. Step 6: Final answer
    x = 1,314,745.91

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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.