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Finding the Fourth Proportional to 273,382.80, 410,074.20 and 262,885.20

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Solution

The fourth proportional to 273,382.80, 410,074.20 and 262,885.20 is: 394,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,382.80 : 410,074.20 = 262,885.20 : x
  2. Step 2: Convert to fraction form
    273,382.80/410,074.20 = 262,885.20/x
  3. Step 3: Cross multiply
    273,382.80x = 410,074.20 × 262,885.20
  4. Step 4: Simplify right side
    273,382.80x = 107,802,438,081.84
  5. Step 5: Solve for x
    x = 107,802,438,081.84/273,382.80
  6. Step 6: Final answer
    x = 394,327.80

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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.