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Finding the Fourth Proportional to 376,630.91, 519,757.49 and 204,548.84

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Solution

The fourth proportional to 376,630.91, 519,757.49 and 204,548.84 is: 282,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,630.91 : 519,757.49 = 204,548.84 : x
  2. Step 2: Convert to fraction form
    376,630.91/519,757.49 = 204,548.84/x
  3. Step 3: Cross multiply
    376,630.91x = 519,757.49 × 204,548.84
  4. Step 4: Simplify right side
    376,630.91x = 106,315,788,039.28
  5. Step 5: Solve for x
    x = 106,315,788,039.28/376,630.91
  6. Step 6: Final answer
    x = 282,281.10

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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.