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Finding the Fourth Proportional to 694,561.92, 1,042,000 and 221,274.24

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Solution

The fourth proportional to 694,561.92, 1,042,000 and 221,274.24 is: 331,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,561.92 : 1,042,000 = 221,274.24 : x
  2. Step 2: Convert to fraction form
    694,561.92/1,042,000 = 221,274.24/x
  3. Step 3: Cross multiply
    694,561.92x = 1,042,000 × 221,274.24
  4. Step 4: Simplify right side
    694,561.92x = 230,567,758,080
  5. Step 5: Solve for x
    x = 230,567,758,080/694,561.92
  6. Step 6: Final answer
    x = 331,961.42

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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.