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Finding the Fourth Proportional to 376,224.42, 519,196.05 and 206,474.34

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Solution

The fourth proportional to 376,224.42, 519,196.05 and 206,474.34 is: 284,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,224.42 : 519,196.05 = 206,474.34 : x
  2. Step 2: Convert to fraction form
    376,224.42/519,196.05 = 206,474.34/x
  3. Step 3: Cross multiply
    376,224.42x = 519,196.05 × 206,474.34
  4. Step 4: Simplify right side
    376,224.42x = 107,200,661,754.36
  5. Step 5: Solve for x
    x = 107,200,661,754.36/376,224.42
  6. Step 6: Final answer
    x = 284,938.07

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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.