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Finding the Fourth Proportional to 319,813, 441,380.82 and 185,677

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Solution

The fourth proportional to 319,813, 441,380.82 and 185,677 is: 256,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,813 : 441,380.82 = 185,677 : x
  2. Step 2: Convert to fraction form
    319,813/441,380.82 = 185,677/x
  3. Step 3: Cross multiply
    319,813x = 441,380.82 × 185,677
  4. Step 4: Simplify right side
    319,813x = 81,954,266,515.14
  5. Step 5: Solve for x
    x = 81,954,266,515.14/319,813
  6. Step 6: Final answer
    x = 256,256.83

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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.