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Finding the Fourth Proportional to 1,410,611.98, 1,947,240.39 and 952,347.24

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Solution

The fourth proportional to 1,410,611.98, 1,947,240.39 and 952,347.24 is: 1,314,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,611.98 : 1,947,240.39 = 952,347.24 : x
  2. Step 2: Convert to fraction form
    1,410,611.98/1,947,240.39 = 952,347.24/x
  3. Step 3: Cross multiply
    1,410,611.98x = 1,947,240.39 × 952,347.24
  4. Step 4: Simplify right side
    1,410,611.98x = 1,854,449,011,033.02
  5. Step 5: Solve for x
    x = 1,854,449,011,033.02/1,410,611.98
  6. Step 6: Final answer
    x = 1,314,641.47

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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.