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Finding the Fourth Proportional to 337,171.74, 465,306.39 and 186,278.46

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Solution

The fourth proportional to 337,171.74, 465,306.39 and 186,278.46 is: 257,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,171.74 : 465,306.39 = 186,278.46 : x
  2. Step 2: Convert to fraction form
    337,171.74/465,306.39 = 186,278.46/x
  3. Step 3: Cross multiply
    337,171.74x = 465,306.39 × 186,278.46
  4. Step 4: Simplify right side
    337,171.74x = 86,676,557,757.36
  5. Step 5: Solve for x
    x = 86,676,557,757.36/337,171.74
  6. Step 6: Final answer
    x = 257,069.46

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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.