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Finding the Fourth Proportional to 340,241.26, 469,406.46 and 339,716.38

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Solution

The fourth proportional to 340,241.26, 469,406.46 and 339,716.38 is: 468,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,241.26 : 469,406.46 = 339,716.38 : x
  2. Step 2: Convert to fraction form
    340,241.26/469,406.46 = 339,716.38/x
  3. Step 3: Cross multiply
    340,241.26x = 469,406.46 × 339,716.38
  4. Step 4: Simplify right side
    340,241.26x = 159,465,063,339.82
  5. Step 5: Solve for x
    x = 159,465,063,339.82/340,241.26
  6. Step 6: Final answer
    x = 468,682.32

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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.