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Finding the Fourth Proportional to 311,724.63, 467,441.63 and 161,924.71

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Solution

The fourth proportional to 311,724.63, 467,441.63 and 161,924.71 is: 242,811.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,724.63 : 467,441.63 = 161,924.71 : x
  2. Step 2: Convert to fraction form
    311,724.63/467,441.63 = 161,924.71/x
  3. Step 3: Cross multiply
    311,724.63x = 467,441.63 × 161,924.71
  4. Step 4: Simplify right side
    311,724.63x = 75,690,349,919.49
  5. Step 5: Solve for x
    x = 75,690,349,919.49/311,724.63
  6. Step 6: Final answer
    x = 242,811.58

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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.