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Finding the Fourth Proportional to 394,708.14, 544,658.94 and 222,653.16

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Solution

The fourth proportional to 394,708.14, 544,658.94 and 222,653.16 is: 307,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,708.14 : 544,658.94 = 222,653.16 : x
  2. Step 2: Convert to fraction form
    394,708.14/544,658.94 = 222,653.16/x
  3. Step 3: Cross multiply
    394,708.14x = 544,658.94 × 222,653.16
  4. Step 4: Simplify right side
    394,708.14x = 121,270,034,113.25
  5. Step 5: Solve for x
    x = 121,270,034,113.25/394,708.14
  6. Step 6: Final answer
    x = 307,239.76

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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.