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Finding the Fourth Proportional to 337,295.72, 465,449.78 and 186,383

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Solution

The fourth proportional to 337,295.72, 465,449.78 and 186,383 is: 257,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,295.72 : 465,449.78 = 186,383 : x
  2. Step 2: Convert to fraction form
    337,295.72/465,449.78 = 186,383/x
  3. Step 3: Cross multiply
    337,295.72x = 465,449.78 × 186,383
  4. Step 4: Simplify right side
    337,295.72x = 86,751,926,345.74
  5. Step 5: Solve for x
    x = 86,751,926,345.74/337,295.72
  6. Step 6: Final answer
    x = 257,198.42

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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.