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Finding the Fourth Proportional to 508,462.92, 762,395.34 and 192,942

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Solution

The fourth proportional to 508,462.92, 762,395.34 and 192,942 is: 289,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,462.92 : 762,395.34 = 192,942 : x
  2. Step 2: Convert to fraction form
    508,462.92/762,395.34 = 192,942/x
  3. Step 3: Cross multiply
    508,462.92x = 762,395.34 × 192,942
  4. Step 4: Simplify right side
    508,462.92x = 147,098,081,690.28
  5. Step 5: Solve for x
    x = 147,098,081,690.28/508,462.92
  6. Step 6: Final answer
    x = 289,299.53

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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.