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Finding the Fourth Proportional to 376,498.84, 519,576.78 and 206,733.64

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Solution

The fourth proportional to 376,498.84, 519,576.78 and 206,733.64 is: 285,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,498.84 : 519,576.78 = 206,733.64 : x
  2. Step 2: Convert to fraction form
    376,498.84/519,576.78 = 206,733.64/x
  3. Step 3: Cross multiply
    376,498.84x = 519,576.78 × 206,733.64
  4. Step 4: Simplify right side
    376,498.84x = 107,413,998,988.88
  5. Step 5: Solve for x
    x = 107,413,998,988.88/376,498.84
  6. Step 6: Final answer
    x = 285,297.03

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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.