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Finding the Fourth Proportional to 299,317.46, 413,057.25 and 165,180.50

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Solution

The fourth proportional to 299,317.46, 413,057.25 and 165,180.50 is: 227,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,317.46 : 413,057.25 = 165,180.50 : x
  2. Step 2: Convert to fraction form
    299,317.46/413,057.25 = 165,180.50/x
  3. Step 3: Cross multiply
    299,317.46x = 413,057.25 × 165,180.50
  4. Step 4: Simplify right side
    299,317.46x = 68,229,003,083.63
  5. Step 5: Solve for x
    x = 68,229,003,083.63/299,317.46
  6. Step 6: Final answer
    x = 227,948.62

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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.