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Finding the Fourth Proportional to 469,067.91, 647,383.20 and 297,001.87

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Solution

The fourth proportional to 469,067.91, 647,383.20 and 297,001.87 is: 409,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,067.91 : 647,383.20 = 297,001.87 : x
  2. Step 2: Convert to fraction form
    469,067.91/647,383.20 = 297,001.87/x
  3. Step 3: Cross multiply
    469,067.91x = 647,383.20 × 297,001.87
  4. Step 4: Simplify right side
    469,067.91x = 192,274,018,274.37
  5. Step 5: Solve for x
    x = 192,274,018,274.37/469,067.91
  6. Step 6: Final answer
    x = 409,906.57

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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.