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Finding the Fourth Proportional to 979,847, 1,469,770.50 and 314,999

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Solution

The fourth proportional to 979,847, 1,469,770.50 and 314,999 is: 472,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,847 : 1,469,770.50 = 314,999 : x
  2. Step 2: Convert to fraction form
    979,847/1,469,770.50 = 314,999/x
  3. Step 3: Cross multiply
    979,847x = 1,469,770.50 × 314,999
  4. Step 4: Simplify right side
    979,847x = 462,976,237,729.50
  5. Step 5: Solve for x
    x = 462,976,237,729.50/979,847
  6. Step 6: Final answer
    x = 472,498.50

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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.