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Finding the Fourth Proportional to 299,990.28, 413,971.38 and 165,828.36

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Solution

The fourth proportional to 299,990.28, 413,971.38 and 165,828.36 is: 228,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,990.28 : 413,971.38 = 165,828.36 : x
  2. Step 2: Convert to fraction form
    299,990.28/413,971.38 = 165,828.36/x
  3. Step 3: Cross multiply
    299,990.28x = 413,971.38 × 165,828.36
  4. Step 4: Simplify right side
    299,990.28x = 68,648,195,032.34
  5. Step 5: Solve for x
    x = 68,648,195,032.34/299,990.28
  6. Step 6: Final answer
    x = 228,834.73

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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.