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Finding the Fourth Proportional to 394,090.50, 543,845.52 and 224,324.64

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Solution

The fourth proportional to 394,090.50, 543,845.52 and 224,324.64 is: 309,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,090.50 : 543,845.52 = 224,324.64 : x
  2. Step 2: Convert to fraction form
    394,090.50/543,845.52 = 224,324.64/x
  3. Step 3: Cross multiply
    394,090.50x = 543,845.52 × 224,324.64
  4. Step 4: Simplify right side
    394,090.50x = 121,997,950,489.61
  5. Step 5: Solve for x
    x = 121,997,950,489.61/394,090.50
  6. Step 6: Final answer
    x = 309,568.36

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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.