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Finding the Fourth Proportional to 376,460.82, 519,516.78 and 206,705.88

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Solution

The fourth proportional to 376,460.82, 519,516.78 and 206,705.88 is: 285,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,460.82 : 519,516.78 = 206,705.88 : x
  2. Step 2: Convert to fraction form
    376,460.82/519,516.78 = 206,705.88/x
  3. Step 3: Cross multiply
    376,460.82x = 519,516.78 × 206,705.88
  4. Step 4: Simplify right side
    376,460.82x = 107,387,173,184.67
  5. Step 5: Solve for x
    x = 107,387,173,184.67/376,460.82
  6. Step 6: Final answer
    x = 285,254.58

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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.