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Finding the Fourth Proportional to 293,751.44, 405,393 and 166,451.84

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Solution

The fourth proportional to 293,751.44, 405,393 and 166,451.84 is: 229,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,751.44 : 405,393 = 166,451.84 : x
  2. Step 2: Convert to fraction form
    293,751.44/405,393 = 166,451.84/x
  3. Step 3: Cross multiply
    293,751.44x = 405,393 × 166,451.84
  4. Step 4: Simplify right side
    293,751.44x = 67,478,410,773.12
  5. Step 5: Solve for x
    x = 67,478,410,773.12/293,751.44
  6. Step 6: Final answer
    x = 229,712.61

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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.