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Finding the Fourth Proportional to 339,407.14, 468,276.50 and 196,114.90

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Solution

The fourth proportional to 339,407.14, 468,276.50 and 196,114.90 is: 270,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,407.14 : 468,276.50 = 196,114.90 : x
  2. Step 2: Convert to fraction form
    339,407.14/468,276.50 = 196,114.90/x
  3. Step 3: Cross multiply
    339,407.14x = 468,276.50 × 196,114.90
  4. Step 4: Simplify right side
    339,407.14x = 91,835,998,969.85
  5. Step 5: Solve for x
    x = 91,835,998,969.85/339,407.14
  6. Step 6: Final answer
    x = 270,577.69

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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.