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Finding the Fourth Proportional to 299,649, 413,517.02 and 163,684.83

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Solution

The fourth proportional to 299,649, 413,517.02 and 163,684.83 is: 225,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,649 : 413,517.02 = 163,684.83 : x
  2. Step 2: Convert to fraction form
    299,649/413,517.02 = 163,684.83/x
  3. Step 3: Cross multiply
    299,649x = 413,517.02 × 163,684.83
  4. Step 4: Simplify right side
    299,649x = 67,686,463,120.81
  5. Step 5: Solve for x
    x = 67,686,463,120.81/299,649
  6. Step 6: Final answer
    x = 225,885.83

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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.