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Finding the Fourth Proportional to 508,453.92, 762,381.84 and 192,933

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Solution

The fourth proportional to 508,453.92, 762,381.84 and 192,933 is: 289,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,453.92 : 762,381.84 = 192,933 : x
  2. Step 2: Convert to fraction form
    508,453.92/762,381.84 = 192,933/x
  3. Step 3: Cross multiply
    508,453.92x = 762,381.84 × 192,933
  4. Step 4: Simplify right side
    508,453.92x = 147,088,615,536.72
  5. Step 5: Solve for x
    x = 147,088,615,536.72/508,453.92
  6. Step 6: Final answer
    x = 289,286.03

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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.