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Finding the Fourth Proportional to 792,888, 1,189,321.36 and 193,854.32

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Solution

The fourth proportional to 792,888, 1,189,321.36 and 193,854.32 is: 290,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,888 : 1,189,321.36 = 193,854.32 : x
  2. Step 2: Convert to fraction form
    792,888/1,189,321.36 = 193,854.32/x
  3. Step 3: Cross multiply
    792,888x = 1,189,321.36 × 193,854.32
  4. Step 4: Simplify right side
    792,888x = 230,555,083,504.28
  5. Step 5: Solve for x
    x = 230,555,083,504.28/792,888
  6. Step 6: Final answer
    x = 290,778.88

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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.