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Finding the Fourth Proportional to 334,232.02, 461,299.16 and 198,340.90

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Solution

The fourth proportional to 334,232.02, 461,299.16 and 198,340.90 is: 273,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,232.02 : 461,299.16 = 198,340.90 : x
  2. Step 2: Convert to fraction form
    334,232.02/461,299.16 = 198,340.90/x
  3. Step 3: Cross multiply
    334,232.02x = 461,299.16 × 198,340.90
  4. Step 4: Simplify right side
    334,232.02x = 91,494,490,563.64
  5. Step 5: Solve for x
    x = 91,494,490,563.64/334,232.02
  6. Step 6: Final answer
    x = 273,745.44

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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.