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Finding the Fourth Proportional to 392,333, 588,500.94 and 96,845

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Solution

The fourth proportional to 392,333, 588,500.94 and 96,845 is: 145,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,333 : 588,500.94 = 96,845 : x
  2. Step 2: Convert to fraction form
    392,333/588,500.94 = 96,845/x
  3. Step 3: Cross multiply
    392,333x = 588,500.94 × 96,845
  4. Step 4: Simplify right side
    392,333x = 56,993,373,534.30
  5. Step 5: Solve for x
    x = 56,993,373,534.30/392,333
  6. Step 6: Final answer
    x = 145,267.86

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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.