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Finding the Fourth Proportional to 469,165.84, 703,640.82 and 279,679.70

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Solution

The fourth proportional to 469,165.84, 703,640.82 and 279,679.70 is: 419,455.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,165.84 : 703,640.82 = 279,679.70 : x
  2. Step 2: Convert to fraction form
    469,165.84/703,640.82 = 279,679.70/x
  3. Step 3: Cross multiply
    469,165.84x = 703,640.82 × 279,679.70
  4. Step 4: Simplify right side
    469,165.84x = 196,794,053,445.35
  5. Step 5: Solve for x
    x = 196,794,053,445.35/469,165.84
  6. Step 6: Final answer
    x = 419,455.21

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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.