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Finding the Fourth Proportional to 394,252.08, 544,074.84 and 224,502

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Solution

The fourth proportional to 394,252.08, 544,074.84 and 224,502 is: 309,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,252.08 : 544,074.84 = 224,502 : x
  2. Step 2: Convert to fraction form
    394,252.08/544,074.84 = 224,502/x
  3. Step 3: Cross multiply
    394,252.08x = 544,074.84 × 224,502
  4. Step 4: Simplify right side
    394,252.08x = 122,145,889,729.68
  5. Step 5: Solve for x
    x = 122,145,889,729.68/394,252.08
  6. Step 6: Final answer
    x = 309,816.73

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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.