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Finding the Fourth Proportional to 337,429.72, 465,634.74 and 186,517

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Solution

The fourth proportional to 337,429.72, 465,634.74 and 186,517 is: 257,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,429.72 : 465,634.74 = 186,517 : x
  2. Step 2: Convert to fraction form
    337,429.72/465,634.74 = 186,517/x
  3. Step 3: Cross multiply
    337,429.72x = 465,634.74 × 186,517
  4. Step 4: Simplify right side
    337,429.72x = 86,848,794,800.58
  5. Step 5: Solve for x
    x = 86,848,794,800.58/337,429.72
  6. Step 6: Final answer
    x = 257,383.36

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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.