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Finding the Fourth Proportional to 296,612.42, 409,361.10 and 167,556.33

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Solution

The fourth proportional to 296,612.42, 409,361.10 and 167,556.33 is: 231,248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,612.42 : 409,361.10 = 167,556.33 : x
  2. Step 2: Convert to fraction form
    296,612.42/409,361.10 = 167,556.33/x
  3. Step 3: Cross multiply
    296,612.42x = 409,361.10 × 167,556.33
  4. Step 4: Simplify right side
    296,612.42x = 68,591,043,560.76
  5. Step 5: Solve for x
    x = 68,591,043,560.76/296,612.42
  6. Step 6: Final answer
    x = 231,248.05

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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.