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Finding the Fourth Proportional to 297,858.38, 411,044.56 and 163,722.38

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Solution

The fourth proportional to 297,858.38, 411,044.56 and 163,722.38 is: 225,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,858.38 : 411,044.56 = 163,722.38 : x
  2. Step 2: Convert to fraction form
    297,858.38/411,044.56 = 163,722.38/x
  3. Step 3: Cross multiply
    297,858.38x = 411,044.56 × 163,722.38
  4. Step 4: Simplify right side
    297,858.38x = 67,297,191,184.72
  5. Step 5: Solve for x
    x = 67,297,191,184.72/297,858.38
  6. Step 6: Final answer
    x = 225,936.88

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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.