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Finding the Fourth Proportional to 469,165.34, 703,640.07 and 279,679.20

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Solution

The fourth proportional to 469,165.34, 703,640.07 and 279,679.20 is: 419,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,165.34 : 703,640.07 = 279,679.20 : x
  2. Step 2: Convert to fraction form
    469,165.34/703,640.07 = 279,679.20/x
  3. Step 3: Cross multiply
    469,165.34x = 703,640.07 × 279,679.20
  4. Step 4: Simplify right side
    469,165.34x = 196,793,491,865.54
  5. Step 5: Solve for x
    x = 196,793,491,865.54/469,165.34
  6. Step 6: Final answer
    x = 419,454.46

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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.