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Finding the Fourth Proportional to 299,243.50, 412,964.67 and 165,116.14

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Solution

The fourth proportional to 299,243.50, 412,964.67 and 165,116.14 is: 227,865.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,243.50 : 412,964.67 = 165,116.14 : x
  2. Step 2: Convert to fraction form
    299,243.50/412,964.67 = 165,116.14/x
  3. Step 3: Cross multiply
    299,243.50x = 412,964.67 × 165,116.14
  4. Step 4: Simplify right side
    299,243.50x = 68,187,132,266.77
  5. Step 5: Solve for x
    x = 68,187,132,266.77/299,243.50
  6. Step 6: Final answer
    x = 227,865.04

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1.5x scale

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.