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Finding the Fourth Proportional to 751,884, 1,037,599.92 and 412,352.25

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Solution

The fourth proportional to 751,884, 1,037,599.92 and 412,352.25 is: 569,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,884 : 1,037,599.92 = 412,352.25 : x
  2. Step 2: Convert to fraction form
    751,884/1,037,599.92 = 412,352.25/x
  3. Step 3: Cross multiply
    751,884x = 1,037,599.92 × 412,352.25
  4. Step 4: Simplify right side
    751,884x = 427,856,661,611.82
  5. Step 5: Solve for x
    x = 427,856,661,611.82/751,884
  6. Step 6: Final answer
    x = 569,046.11

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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.