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Finding the Fourth Proportional to 296,974.90, 409,820.33 and 167,911.22

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Solution

The fourth proportional to 296,974.90, 409,820.33 and 167,911.22 is: 231,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,974.90 : 409,820.33 = 167,911.22 : x
  2. Step 2: Convert to fraction form
    296,974.90/409,820.33 = 167,911.22/x
  3. Step 3: Cross multiply
    296,974.90x = 409,820.33 × 167,911.22
  4. Step 4: Simplify right side
    296,974.90x = 68,813,431,591.10
  5. Step 5: Solve for x
    x = 68,813,431,591.10/296,974.90
  6. Step 6: Final answer
    x = 231,714.64

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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.