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Finding the Fourth Proportional to 296,682.22, 409,422.72 and 160,716.17

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Solution

The fourth proportional to 296,682.22, 409,422.72 and 160,716.17 is: 221,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,682.22 : 409,422.72 = 160,716.17 : x
  2. Step 2: Convert to fraction form
    296,682.22/409,422.72 = 160,716.17/x
  3. Step 3: Cross multiply
    296,682.22x = 409,422.72 × 160,716.17
  4. Step 4: Simplify right side
    296,682.22x = 65,800,851,074.19
  5. Step 5: Solve for x
    x = 65,800,851,074.19/296,682.22
  6. Step 6: Final answer
    x = 221,788.99

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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.