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Finding the Fourth Proportional to 573,847, 860,908.74 and 179,863

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Solution

The fourth proportional to 573,847, 860,908.74 and 179,863 is: 269,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,847 : 860,908.74 = 179,863 : x
  2. Step 2: Convert to fraction form
    573,847/860,908.74 = 179,863/x
  3. Step 3: Cross multiply
    573,847x = 860,908.74 × 179,863
  4. Step 4: Simplify right side
    573,847x = 154,845,628,702.62
  5. Step 5: Solve for x
    x = 154,845,628,702.62/573,847
  6. Step 6: Final answer
    x = 269,837.83

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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.