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Finding the Fourth Proportional to 299,300, 413,034.54 and 165,164

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Solution

The fourth proportional to 299,300, 413,034.54 and 165,164 is: 227,926.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,300 : 413,034.54 = 165,164 : x
  2. Step 2: Convert to fraction form
    299,300/413,034.54 = 165,164/x
  3. Step 3: Cross multiply
    299,300x = 413,034.54 × 165,164
  4. Step 4: Simplify right side
    299,300x = 68,218,436,764.56
  5. Step 5: Solve for x
    x = 68,218,436,764.56/299,300
  6. Step 6: Final answer
    x = 227,926.62

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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.