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Finding the Fourth Proportional to 334,187.64, 461,212.38 and 190,969.11

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Solution

The fourth proportional to 334,187.64, 461,212.38 and 190,969.11 is: 263,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,187.64 : 461,212.38 = 190,969.11 : x
  2. Step 2: Convert to fraction form
    334,187.64/461,212.38 = 190,969.11/x
  3. Step 3: Cross multiply
    334,187.64x = 461,212.38 × 190,969.11
  4. Step 4: Simplify right side
    334,187.64x = 88,077,317,729.58
  5. Step 5: Solve for x
    x = 88,077,317,729.58/334,187.64
  6. Step 6: Final answer
    x = 263,556.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.