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Finding the Fourth Proportional to 296,749.44, 409,531.53 and 167,684.63

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Solution

The fourth proportional to 296,749.44, 409,531.53 and 167,684.63 is: 231,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,749.44 : 409,531.53 = 167,684.63 : x
  2. Step 2: Convert to fraction form
    296,749.44/409,531.53 = 167,684.63/x
  3. Step 3: Cross multiply
    296,749.44x = 409,531.53 × 167,684.63
  4. Step 4: Simplify right side
    296,749.44x = 68,672,141,033.73
  5. Step 5: Solve for x
    x = 68,672,141,033.73/296,749.44
  6. Step 6: Final answer
    x = 231,414.56

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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.