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Finding the Fourth Proportional to 394,519.23, 544,432.46 and 224,757

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Solution

The fourth proportional to 394,519.23, 544,432.46 and 224,757 is: 310,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,519.23 : 544,432.46 = 224,757 : x
  2. Step 2: Convert to fraction form
    394,519.23/544,432.46 = 224,757/x
  3. Step 3: Cross multiply
    394,519.23x = 544,432.46 × 224,757
  4. Step 4: Simplify right side
    394,519.23x = 122,365,005,288.44
  5. Step 5: Solve for x
    x = 122,365,005,288.44/394,519.23
  6. Step 6: Final answer
    x = 310,162.33

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1.5x scale

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.