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Finding the Fourth Proportional to 299,244.75, 412,966.40 and 165,117.39

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Solution

The fourth proportional to 299,244.75, 412,966.40 and 165,117.39 is: 227,866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,244.75 : 412,966.40 = 165,117.39 : x
  2. Step 2: Convert to fraction form
    299,244.75/412,966.40 = 165,117.39/x
  3. Step 3: Cross multiply
    299,244.75x = 412,966.40 × 165,117.39
  4. Step 4: Simplify right side
    299,244.75x = 68,187,933,300.11
  5. Step 5: Solve for x
    x = 68,187,933,300.11/299,244.75
  6. Step 6: Final answer
    x = 227,866.77

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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.