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Finding the Fourth Proportional to 276,043.80, 414,065.70 and 231,757.05

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Solution

The fourth proportional to 276,043.80, 414,065.70 and 231,757.05 is: 347,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,043.80 : 414,065.70 = 231,757.05 : x
  2. Step 2: Convert to fraction form
    276,043.80/414,065.70 = 231,757.05/x
  3. Step 3: Cross multiply
    276,043.80x = 414,065.70 × 231,757.05
  4. Step 4: Simplify right side
    276,043.80x = 95,962,645,138.19
  5. Step 5: Solve for x
    x = 95,962,645,138.19/276,043.80
  6. Step 6: Final answer
    x = 347,635.58

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1.5x scale

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.