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Finding the Fourth Proportional to 299,365, 413,124.24 and 165,229

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Solution

The fourth proportional to 299,365, 413,124.24 and 165,229 is: 228,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,365 : 413,124.24 = 165,229 : x
  2. Step 2: Convert to fraction form
    299,365/413,124.24 = 165,229/x
  3. Step 3: Cross multiply
    299,365x = 413,124.24 × 165,229
  4. Step 4: Simplify right side
    299,365x = 68,260,105,050.96
  5. Step 5: Solve for x
    x = 68,260,105,050.96/299,365
  6. Step 6: Final answer
    x = 228,016.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.