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Finding the Fourth Proportional to 394,801.26, 544,824.18 and 213,513.42

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Solution

The fourth proportional to 394,801.26, 544,824.18 and 213,513.42 is: 294,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,801.26 : 544,824.18 = 213,513.42 : x
  2. Step 2: Convert to fraction form
    394,801.26/544,824.18 = 213,513.42/x
  3. Step 3: Cross multiply
    394,801.26x = 544,824.18 × 213,513.42
  4. Step 4: Simplify right side
    394,801.26x = 116,327,273,970.50
  5. Step 5: Solve for x
    x = 116,327,273,970.50/394,801.26
  6. Step 6: Final answer
    x = 294,647.68

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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.