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Finding the Fourth Proportional to 343,378.82, 473,861.26 and 192,475.82

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Solution

The fourth proportional to 343,378.82, 473,861.26 and 192,475.82 is: 265,615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,378.82 : 473,861.26 = 192,475.82 : x
  2. Step 2: Convert to fraction form
    343,378.82/473,861.26 = 192,475.82/x
  3. Step 3: Cross multiply
    343,378.82x = 473,861.26 × 192,475.82
  4. Step 4: Simplify right side
    343,378.82x = 91,206,834,584.73
  5. Step 5: Solve for x
    x = 91,206,834,584.73/343,378.82
  6. Step 6: Final answer
    x = 265,615.78

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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.