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Finding the Fourth Proportional to 272,287.92, 408,470.76 and 85,314

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Solution

The fourth proportional to 272,287.92, 408,470.76 and 85,314 is: 127,983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,287.92 : 408,470.76 = 85,314 : x
  2. Step 2: Convert to fraction form
    272,287.92/408,470.76 = 85,314/x
  3. Step 3: Cross multiply
    272,287.92x = 408,470.76 × 85,314
  4. Step 4: Simplify right side
    272,287.92x = 34,848,274,418.64
  5. Step 5: Solve for x
    x = 34,848,274,418.64/272,287.92
  6. Step 6: Final answer
    x = 127,983.18

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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.