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Finding the Fourth Proportional to 316,190.70, 436,571.37 and 195,497.46

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Solution

The fourth proportional to 316,190.70, 436,571.37 and 195,497.46 is: 269,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,190.70 : 436,571.37 = 195,497.46 : x
  2. Step 2: Convert to fraction form
    316,190.70/436,571.37 = 195,497.46/x
  3. Step 3: Cross multiply
    316,190.70x = 436,571.37 × 195,497.46
  4. Step 4: Simplify right side
    316,190.70x = 85,348,593,943.72
  5. Step 5: Solve for x
    x = 85,348,593,943.72/316,190.70
  6. Step 6: Final answer
    x = 269,927.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.