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Finding the Fourth Proportional to 252,447.48, 378,944.19 and 224,546.22

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Solution

The fourth proportional to 252,447.48, 378,944.19 and 224,546.22 is: 337,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,447.48 : 378,944.19 = 224,546.22 : x
  2. Step 2: Convert to fraction form
    252,447.48/378,944.19 = 224,546.22/x
  3. Step 3: Cross multiply
    252,447.48x = 378,944.19 × 224,546.22
  4. Step 4: Simplify right side
    252,447.48x = 85,090,485,455.46
  5. Step 5: Solve for x
    x = 85,090,485,455.46/252,447.48
  6. Step 6: Final answer
    x = 337,062.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.