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Finding the Fourth Proportional to 301,804.26, 416,489.76 and 165,846.96

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Solution

The fourth proportional to 301,804.26, 416,489.76 and 165,846.96 is: 228,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,804.26 : 416,489.76 = 165,846.96 : x
  2. Step 2: Convert to fraction form
    301,804.26/416,489.76 = 165,846.96/x
  3. Step 3: Cross multiply
    301,804.26x = 416,489.76 × 165,846.96
  4. Step 4: Simplify right side
    301,804.26x = 69,073,560,567.13
  5. Step 5: Solve for x
    x = 69,073,560,567.13/301,804.26
  6. Step 6: Final answer
    x = 228,868.74

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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.