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Finding the Fourth Proportional to 334,424.49, 461,355.10 and 198,464.16

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Solution

The fourth proportional to 334,424.49, 461,355.10 and 198,464.16 is: 273,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,424.49 : 461,355.10 = 198,464.16 : x
  2. Step 2: Convert to fraction form
    334,424.49/461,355.10 = 198,464.16/x
  3. Step 3: Cross multiply
    334,424.49x = 461,355.10 × 198,464.16
  4. Step 4: Simplify right side
    334,424.49x = 91,562,452,383.22
  5. Step 5: Solve for x
    x = 91,562,452,383.22/334,424.49
  6. Step 6: Final answer
    x = 273,791.11

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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.