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Finding the Fourth Proportional to 376,586.75, 519,693.77 and 206,820.88

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Solution

The fourth proportional to 376,586.75, 519,693.77 and 206,820.88 is: 285,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,586.75 : 519,693.77 = 206,820.88 : x
  2. Step 2: Convert to fraction form
    376,586.75/519,693.77 = 206,820.88/x
  3. Step 3: Cross multiply
    376,586.75x = 519,693.77 × 206,820.88
  4. Step 4: Simplify right side
    376,586.75x = 107,483,522,059.74
  5. Step 5: Solve for x
    x = 107,483,522,059.74/376,586.75
  6. Step 6: Final answer
    x = 285,415.04

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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.