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Finding the Fourth Proportional to 319,708.26, 441,169.38 and 204,784.11

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Solution

The fourth proportional to 319,708.26, 441,169.38 and 204,784.11 is: 282,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,708.26 : 441,169.38 = 204,784.11 : x
  2. Step 2: Convert to fraction form
    319,708.26/441,169.38 = 204,784.11/x
  3. Step 3: Cross multiply
    319,708.26x = 441,169.38 × 204,784.11
  4. Step 4: Simplify right side
    319,708.26x = 90,344,478,842.55
  5. Step 5: Solve for x
    x = 90,344,478,842.55/319,708.26
  6. Step 6: Final answer
    x = 282,584.12

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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.