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Finding the Fourth Proportional to 376,474.84, 519,543.66 and 206,709.64

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Solution

The fourth proportional to 376,474.84, 519,543.66 and 206,709.64 is: 285,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,474.84 : 519,543.66 = 206,709.64 : x
  2. Step 2: Convert to fraction form
    376,474.84/519,543.66 = 206,709.64/x
  3. Step 3: Cross multiply
    376,474.84x = 519,543.66 × 206,709.64
  4. Step 4: Simplify right side
    376,474.84x = 107,394,682,922.88
  5. Step 5: Solve for x
    x = 107,394,682,922.88/376,474.84
  6. Step 6: Final answer
    x = 285,263.90

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1.5x scale

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.