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Finding the Fourth Proportional to 398,593.24, 597,224.13 and 280,052.35

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Solution

The fourth proportional to 398,593.24, 597,224.13 and 280,052.35 is: 419,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,593.24 : 597,224.13 = 280,052.35 : x
  2. Step 2: Convert to fraction form
    398,593.24/597,224.13 = 280,052.35/x
  3. Step 3: Cross multiply
    398,593.24x = 597,224.13 × 280,052.35
  4. Step 4: Simplify right side
    398,593.24x = 167,254,021,083.21
  5. Step 5: Solve for x
    x = 167,254,021,083.21/398,593.24
  6. Step 6: Final answer
    x = 419,610.78

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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.