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Finding the Fourth Proportional to 751,708, 1,037,357.11 and 412,183.54

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Solution

The fourth proportional to 751,708, 1,037,357.11 and 412,183.54 is: 568,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,708 : 1,037,357.11 = 412,183.54 : x
  2. Step 2: Convert to fraction form
    751,708/1,037,357.11 = 412,183.54/x
  3. Step 3: Cross multiply
    751,708x = 1,037,357.11 × 412,183.54
  4. Step 4: Simplify right side
    751,708x = 427,581,525,843.97
  5. Step 5: Solve for x
    x = 427,581,525,843.97/751,708
  6. Step 6: Final answer
    x = 568,813.32

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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.