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Finding the Fourth Proportional to 279,808.40, 419,558.70 and 191,162

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Solution

The fourth proportional to 279,808.40, 419,558.70 and 191,162 is: 286,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,808.40 : 419,558.70 = 191,162 : x
  2. Step 2: Convert to fraction form
    279,808.40/419,558.70 = 191,162/x
  3. Step 3: Cross multiply
    279,808.40x = 419,558.70 × 191,162
  4. Step 4: Simplify right side
    279,808.40x = 80,203,680,209.40
  5. Step 5: Solve for x
    x = 80,203,680,209.40/279,808.40
  6. Step 6: Final answer
    x = 286,637.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.