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Finding the Fourth Proportional to 494,877.96, 682,753.32 and 280,015.74

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Solution

The fourth proportional to 494,877.96, 682,753.32 and 280,015.74 is: 386,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,877.96 : 682,753.32 = 280,015.74 : x
  2. Step 2: Convert to fraction form
    494,877.96/682,753.32 = 280,015.74/x
  3. Step 3: Cross multiply
    494,877.96x = 682,753.32 × 280,015.74
  4. Step 4: Simplify right side
    494,877.96x = 191,181,676,137.26
  5. Step 5: Solve for x
    x = 191,181,676,137.26/494,877.96
  6. Step 6: Final answer
    x = 386,320.85

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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.