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Finding the Fourth Proportional to 311,399.10, 467,098.65 and 241,415.10

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Solution

The fourth proportional to 311,399.10, 467,098.65 and 241,415.10 is: 362,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,399.10 : 467,098.65 = 241,415.10 : x
  2. Step 2: Convert to fraction form
    311,399.10/467,098.65 = 241,415.10/x
  3. Step 3: Cross multiply
    311,399.10x = 467,098.65 × 241,415.10
  4. Step 4: Simplify right side
    311,399.10x = 112,764,667,299.62
  5. Step 5: Solve for x
    x = 112,764,667,299.62/311,399.10
  6. Step 6: Final answer
    x = 362,122.65

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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.