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Finding the Fourth Proportional to 311,165.40, 466,575.30 and 123,965.40

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Solution

The fourth proportional to 311,165.40, 466,575.30 and 123,965.40 is: 185,879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,165.40 : 466,575.30 = 123,965.40 : x
  2. Step 2: Convert to fraction form
    311,165.40/466,575.30 = 123,965.40/x
  3. Step 3: Cross multiply
    311,165.40x = 466,575.30 × 123,965.40
  4. Step 4: Simplify right side
    311,165.40x = 57,839,193,694.62
  5. Step 5: Solve for x
    x = 57,839,193,694.62/311,165.40
  6. Step 6: Final answer
    x = 185,879.26

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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.