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Finding the Fourth Proportional to 299,053, 412,691.72 and 164,917

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Solution

The fourth proportional to 299,053, 412,691.72 and 164,917 is: 227,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,053 : 412,691.72 = 164,917 : x
  2. Step 2: Convert to fraction form
    299,053/412,691.72 = 164,917/x
  3. Step 3: Cross multiply
    299,053x = 412,691.72 × 164,917
  4. Step 4: Simplify right side
    299,053x = 68,059,880,387.24
  5. Step 5: Solve for x
    x = 68,059,880,387.24/299,053
  6. Step 6: Final answer
    x = 227,584.68

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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.