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Finding the Fourth Proportional to 301,478.89, 416,022.16 and 165,511.99

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Solution

The fourth proportional to 301,478.89, 416,022.16 and 165,511.99 is: 228,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,478.89 : 416,022.16 = 165,511.99 : x
  2. Step 2: Convert to fraction form
    301,478.89/416,022.16 = 165,511.99/x
  3. Step 3: Cross multiply
    301,478.89x = 416,022.16 × 165,511.99
  4. Step 4: Simplify right side
    301,478.89x = 68,856,655,299.29
  5. Step 5: Solve for x
    x = 68,856,655,299.29/301,478.89
  6. Step 6: Final answer
    x = 228,396.27

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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.