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Finding the Fourth Proportional to 348,847, 523,348.50 and 127,231

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Solution

The fourth proportional to 348,847, 523,348.50 and 127,231 is: 190,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,847 : 523,348.50 = 127,231 : x
  2. Step 2: Convert to fraction form
    348,847/523,348.50 = 127,231/x
  3. Step 3: Cross multiply
    348,847x = 523,348.50 × 127,231
  4. Step 4: Simplify right side
    348,847x = 66,586,153,003.50
  5. Step 5: Solve for x
    x = 66,586,153,003.50/348,847
  6. Step 6: Final answer
    x = 190,874.95

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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.