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Finding the Fourth Proportional to 398,593.74, 597,224.88 and 280,052.85

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Solution

The fourth proportional to 398,593.74, 597,224.88 and 280,052.85 is: 419,611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,593.74 : 597,224.88 = 280,052.85 : x
  2. Step 2: Convert to fraction form
    398,593.74/597,224.88 = 280,052.85/x
  3. Step 3: Cross multiply
    398,593.74x = 597,224.88 × 280,052.85
  4. Step 4: Simplify right side
    398,593.74x = 167,254,529,734.91
  5. Step 5: Solve for x
    x = 167,254,529,734.91/398,593.74
  6. Step 6: Final answer
    x = 419,611.53

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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.