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Finding the Fourth Proportional to 699,392.38, 965,162.92 and 412,930.88

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Solution

The fourth proportional to 699,392.38, 965,162.92 and 412,930.88 is: 569,845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,392.38 : 965,162.92 = 412,930.88 : x
  2. Step 2: Convert to fraction form
    699,392.38/965,162.92 = 412,930.88/x
  3. Step 3: Cross multiply
    699,392.38x = 965,162.92 × 412,930.88
  4. Step 4: Simplify right side
    699,392.38x = 398,545,573,898.97
  5. Step 5: Solve for x
    x = 398,545,573,898.97/699,392.38
  6. Step 6: Final answer
    x = 569,845.46

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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.