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Finding the Fourth Proportional to 394,166.44, 543,993.06 and 224,373.16

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Solution

The fourth proportional to 394,166.44, 543,993.06 and 224,373.16 is: 309,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,166.44 : 543,993.06 = 224,373.16 : x
  2. Step 2: Convert to fraction form
    394,166.44/543,993.06 = 224,373.16/x
  3. Step 3: Cross multiply
    394,166.44x = 543,993.06 × 224,373.16
  4. Step 4: Simplify right side
    394,166.44x = 122,057,441,890.27
  5. Step 5: Solve for x
    x = 122,057,441,890.27/394,166.44
  6. Step 6: Final answer
    x = 309,659.65

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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.