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Finding the Fourth Proportional to 468,850.26, 646,999.97 and 275,254.80

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Solution

The fourth proportional to 468,850.26, 646,999.97 and 275,254.80 is: 379,843.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,850.26 : 646,999.97 = 275,254.80 : x
  2. Step 2: Convert to fraction form
    468,850.26/646,999.97 = 275,254.80/x
  3. Step 3: Cross multiply
    468,850.26x = 646,999.97 × 275,254.80
  4. Step 4: Simplify right side
    468,850.26x = 178,089,845,088.14
  5. Step 5: Solve for x
    x = 178,089,845,088.14/468,850.26
  6. Step 6: Final answer
    x = 379,843.76

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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.