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Finding the Fourth Proportional to 297,951.48, 411,181.18 and 161,994.57

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Solution

The fourth proportional to 297,951.48, 411,181.18 and 161,994.57 is: 223,556.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,951.48 : 411,181.18 = 161,994.57 : x
  2. Step 2: Convert to fraction form
    297,951.48/411,181.18 = 161,994.57/x
  3. Step 3: Cross multiply
    297,951.48x = 411,181.18 × 161,994.57
  4. Step 4: Simplify right side
    297,951.48x = 66,609,116,499.28
  5. Step 5: Solve for x
    x = 66,609,116,499.28/297,951.48
  6. Step 6: Final answer
    x = 223,556.92

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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.