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Finding the Fourth Proportional to 297,894.52, 411,098.28 and 161,930.44

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Solution

The fourth proportional to 297,894.52, 411,098.28 and 161,930.44 is: 223,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,894.52 : 411,098.28 = 161,930.44 : x
  2. Step 2: Convert to fraction form
    297,894.52/411,098.28 = 161,930.44/x
  3. Step 3: Cross multiply
    297,894.52x = 411,098.28 × 161,930.44
  4. Step 4: Simplify right side
    297,894.52x = 66,569,325,363.64
  5. Step 5: Solve for x
    x = 66,569,325,363.64/297,894.52
  6. Step 6: Final answer
    x = 223,466.10

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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.