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Finding the Fourth Proportional to 469,165.46, 703,640.26 and 279,679.33

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Solution

The fourth proportional to 469,165.46, 703,640.26 and 279,679.33 is: 419,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,165.46 : 703,640.26 = 279,679.33 : x
  2. Step 2: Convert to fraction form
    469,165.46/703,640.26 = 279,679.33/x
  3. Step 3: Cross multiply
    469,165.46x = 703,640.26 × 279,679.33
  4. Step 4: Simplify right side
    469,165.46x = 196,793,631,561.23
  5. Step 5: Solve for x
    x = 196,793,631,561.23/469,165.46
  6. Step 6: Final answer
    x = 419,454.65

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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.