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Finding the Fourth Proportional to 296,835.21, 409,634.01 and 160,869.42

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Solution

The fourth proportional to 296,835.21, 409,634.01 and 160,869.42 is: 222,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,835.21 : 409,634.01 = 160,869.42 : x
  2. Step 2: Convert to fraction form
    296,835.21/409,634.01 = 160,869.42/x
  3. Step 3: Cross multiply
    296,835.21x = 409,634.01 × 160,869.42
  4. Step 4: Simplify right side
    296,835.21x = 65,897,585,600.97
  5. Step 5: Solve for x
    x = 65,897,585,600.97/296,835.21
  6. Step 6: Final answer
    x = 222,000.57

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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.