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Finding the Fourth Proportional to 337,370.16, 505,805.25 and 204,218.94

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Solution

The fourth proportional to 337,370.16, 505,805.25 and 204,218.94 is: 306,177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,370.16 : 505,805.25 = 204,218.94 : x
  2. Step 2: Convert to fraction form
    337,370.16/505,805.25 = 204,218.94/x
  3. Step 3: Cross multiply
    337,370.16x = 505,805.25 × 204,218.94
  4. Step 4: Simplify right side
    337,370.16x = 103,295,012,001.44
  5. Step 5: Solve for x
    x = 103,295,012,001.44/337,370.16
  6. Step 6: Final answer
    x = 306,177.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.