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Finding the Fourth Proportional to 296,768.40, 409,682.22 and 169,419.36

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Solution

The fourth proportional to 296,768.40, 409,682.22 and 169,419.36 is: 233,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,768.40 : 409,682.22 = 169,419.36 : x
  2. Step 2: Convert to fraction form
    296,768.40/409,682.22 = 169,419.36/x
  3. Step 3: Cross multiply
    296,768.40x = 409,682.22 × 169,419.36
  4. Step 4: Simplify right side
    296,768.40x = 69,408,099,515.78
  5. Step 5: Solve for x
    x = 69,408,099,515.78/296,768.40
  6. Step 6: Final answer
    x = 233,879.68

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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.