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Finding the Fourth Proportional to 299,398.96, 413,172.12 and 165,262.96

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Solution

The fourth proportional to 299,398.96, 413,172.12 and 165,262.96 is: 228,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,398.96 : 413,172.12 = 165,262.96 : x
  2. Step 2: Convert to fraction form
    299,398.96/413,172.12 = 165,262.96/x
  3. Step 3: Cross multiply
    299,398.96x = 413,172.12 × 165,262.96
  4. Step 4: Simplify right side
    299,398.96x = 68,282,047,540.68
  5. Step 5: Solve for x
    x = 68,282,047,540.68/299,398.96
  6. Step 6: Final answer
    x = 228,063.74

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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.