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Finding the Fourth Proportional to 296,313.75, 408,782.67 and 173,743.57

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Solution

The fourth proportional to 296,313.75, 408,782.67 and 173,743.57 is: 239,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,313.75 : 408,782.67 = 173,743.57 : x
  2. Step 2: Convert to fraction form
    296,313.75/408,782.67 = 173,743.57/x
  3. Step 3: Cross multiply
    296,313.75x = 408,782.67 × 173,743.57
  4. Step 4: Simplify right side
    296,313.75x = 71,023,357,999.97
  5. Step 5: Solve for x
    x = 71,023,357,999.97/296,313.75
  6. Step 6: Final answer
    x = 239,689.71

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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.