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Finding the Fourth Proportional to 297,694.50, 410,824.89 and 163,558.50

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Solution

The fourth proportional to 297,694.50, 410,824.89 and 163,558.50 is: 225,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,694.50 : 410,824.89 = 163,558.50 : x
  2. Step 2: Convert to fraction form
    297,694.50/410,824.89 = 163,558.50/x
  3. Step 3: Cross multiply
    297,694.50x = 410,824.89 × 163,558.50
  4. Step 4: Simplify right side
    297,694.50x = 67,193,902,771.07
  5. Step 5: Solve for x
    x = 67,193,902,771.07/297,694.50
  6. Step 6: Final answer
    x = 225,714.29

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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.