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Finding the Fourth Proportional to 337,422.65, 505,881.86 and 204,270.80

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Solution

The fourth proportional to 337,422.65, 505,881.86 and 204,270.80 is: 306,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,422.65 : 505,881.86 = 204,270.80 : x
  2. Step 2: Convert to fraction form
    337,422.65/505,881.86 = 204,270.80/x
  3. Step 3: Cross multiply
    337,422.65x = 505,881.86 × 204,270.80
  4. Step 4: Simplify right side
    337,422.65x = 103,336,888,696.93
  5. Step 5: Solve for x
    x = 103,336,888,696.93/337,422.65
  6. Step 6: Final answer
    x = 306,253.57

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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.