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Finding the Fourth Proportional to 322,523.26, 483,721.71 and 306,520.54

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Solution

The fourth proportional to 322,523.26, 483,721.71 and 306,520.54 is: 459,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,523.26 : 483,721.71 = 306,520.54 : x
  2. Step 2: Convert to fraction form
    322,523.26/483,721.71 = 306,520.54/x
  3. Step 3: Cross multiply
    322,523.26x = 483,721.71 × 306,520.54
  4. Step 4: Simplify right side
    322,523.26x = 148,270,639,758.92
  5. Step 5: Solve for x
    x = 148,270,639,758.92/322,523.26
  6. Step 6: Final answer
    x = 459,720.76

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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.