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Finding the Fourth Proportional to 394,174.95, 543,961.94 and 224,409.07

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Solution

The fourth proportional to 394,174.95, 543,961.94 and 224,409.07 is: 309,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,174.95 : 543,961.94 = 224,409.07 : x
  2. Step 2: Convert to fraction form
    394,174.95/543,961.94 = 224,409.07/x
  3. Step 3: Cross multiply
    394,174.95x = 543,961.94 × 224,409.07
  4. Step 4: Simplify right side
    394,174.95x = 122,069,993,070.80
  5. Step 5: Solve for x
    x = 122,069,993,070.80/394,174.95
  6. Step 6: Final answer
    x = 309,684.81

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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.