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Finding the Fourth Proportional to 376,224.75, 519,190.16 and 206,458.88

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Solution

The fourth proportional to 376,224.75, 519,190.16 and 206,458.88 is: 284,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,224.75 : 519,190.16 = 206,458.88 : x
  2. Step 2: Convert to fraction form
    376,224.75/519,190.16 = 206,458.88/x
  3. Step 3: Cross multiply
    376,224.75x = 519,190.16 × 206,458.88
  4. Step 4: Simplify right side
    376,224.75x = 107,191,415,312.38
  5. Step 5: Solve for x
    x = 107,191,415,312.38/376,224.75
  6. Step 6: Final answer
    x = 284,913.25

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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.