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Finding the Fourth Proportional to 394,284.54, 544,294.31 and 230,918.31

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Solution

The fourth proportional to 394,284.54, 544,294.31 and 230,918.31 is: 318,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,284.54 : 544,294.31 = 230,918.31 : x
  2. Step 2: Convert to fraction form
    394,284.54/544,294.31 = 230,918.31/x
  3. Step 3: Cross multiply
    394,284.54x = 544,294.31 × 230,918.31
  4. Step 4: Simplify right side
    394,284.54x = 125,687,521,053.23
  5. Step 5: Solve for x
    x = 125,687,521,053.23/394,284.54
  6. Step 6: Final answer
    x = 318,773.65

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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.