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Finding the Fourth Proportional to 394,813.44, 544,734.72 and 224,985.60

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Solution

The fourth proportional to 394,813.44, 544,734.72 and 224,985.60 is: 310,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,813.44 : 544,734.72 = 224,985.60 : x
  2. Step 2: Convert to fraction form
    394,813.44/544,734.72 = 224,985.60/x
  3. Step 3: Cross multiply
    394,813.44x = 544,734.72 × 224,985.60
  4. Step 4: Simplify right side
    394,813.44x = 122,557,467,820.03
  5. Step 5: Solve for x
    x = 122,557,467,820.03/394,813.44
  6. Step 6: Final answer
    x = 310,418.68

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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.