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Finding the Fourth Proportional to 297,856.82, 411,044.85 and 161,890.80

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Solution

The fourth proportional to 297,856.82, 411,044.85 and 161,890.80 is: 223,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,856.82 : 411,044.85 = 161,890.80 : x
  2. Step 2: Convert to fraction form
    297,856.82/411,044.85 = 161,890.80/x
  3. Step 3: Cross multiply
    297,856.82x = 411,044.85 × 161,890.80
  4. Step 4: Simplify right side
    297,856.82x = 66,544,379,602.38
  5. Step 5: Solve for x
    x = 66,544,379,602.38/297,856.82
  6. Step 6: Final answer
    x = 223,410.63

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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.