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Finding the Fourth Proportional to 320,010.38, 441,283.56 and 274,837.94

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Solution

The fourth proportional to 320,010.38, 441,283.56 and 274,837.94 is: 378,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,010.38 : 441,283.56 = 274,837.94 : x
  2. Step 2: Convert to fraction form
    320,010.38/441,283.56 = 274,837.94/x
  3. Step 3: Cross multiply
    320,010.38x = 441,283.56 × 274,837.94
  4. Step 4: Simplify right side
    320,010.38x = 121,281,464,586.27
  5. Step 5: Solve for x
    x = 121,281,464,586.27/320,010.38
  6. Step 6: Final answer
    x = 378,992.28

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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.