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Finding the Fourth Proportional to 299,247, 412,960.86 and 165,111

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Solution

The fourth proportional to 299,247, 412,960.86 and 165,111 is: 227,853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,247 : 412,960.86 = 165,111 : x
  2. Step 2: Convert to fraction form
    299,247/412,960.86 = 165,111/x
  3. Step 3: Cross multiply
    299,247x = 412,960.86 × 165,111
  4. Step 4: Simplify right side
    299,247x = 68,184,380,555.46
  5. Step 5: Solve for x
    x = 68,184,380,555.46/299,247
  6. Step 6: Final answer
    x = 227,853.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.