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Finding the Fourth Proportional to 467,668.38, 644,951.97 and 306,464.88

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Solution

The fourth proportional to 467,668.38, 644,951.97 and 306,464.88 is: 422,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,668.38 : 644,951.97 = 306,464.88 : x
  2. Step 2: Convert to fraction form
    467,668.38/644,951.97 = 306,464.88/x
  3. Step 3: Cross multiply
    467,668.38x = 644,951.97 × 306,464.88
  4. Step 4: Simplify right side
    467,668.38x = 197,655,128,171.87
  5. Step 5: Solve for x
    x = 197,655,128,171.87/467,668.38
  6. Step 6: Final answer
    x = 422,639.49

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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.