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Finding the Fourth Proportional to 275,728.58, 380,478.57 and 154,842.38

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Solution

The fourth proportional to 275,728.58, 380,478.57 and 154,842.38 is: 213,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,728.58 : 380,478.57 = 154,842.38 : x
  2. Step 2: Convert to fraction form
    275,728.58/380,478.57 = 154,842.38/x
  3. Step 3: Cross multiply
    275,728.58x = 380,478.57 × 154,842.38
  4. Step 4: Simplify right side
    275,728.58x = 58,914,207,317.80
  5. Step 5: Solve for x
    x = 58,914,207,317.80/275,728.58
  6. Step 6: Final answer
    x = 213,667.39

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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.