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Finding the Fourth Proportional to 340,241.97, 469,503.36 and 197,011.65

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Solution

The fourth proportional to 340,241.97, 469,503.36 and 197,011.65 is: 271,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,241.97 : 469,503.36 = 197,011.65 : x
  2. Step 2: Convert to fraction form
    340,241.97/469,503.36 = 197,011.65/x
  3. Step 3: Cross multiply
    340,241.97x = 469,503.36 × 197,011.65
  4. Step 4: Simplify right side
    340,241.97x = 92,497,631,634.14
  5. Step 5: Solve for x
    x = 92,497,631,634.14/340,241.97
  6. Step 6: Final answer
    x = 271,858.38

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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.