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Finding the Fourth Proportional to 534,940.48, 738,192 and 320,199.04

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Solution

The fourth proportional to 534,940.48, 738,192 and 320,199.04 is: 441,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,940.48 : 738,192 = 320,199.04 : x
  2. Step 2: Convert to fraction form
    534,940.48/738,192 = 320,199.04/x
  3. Step 3: Cross multiply
    534,940.48x = 738,192 × 320,199.04
  4. Step 4: Simplify right side
    534,940.48x = 236,368,369,735.68
  5. Step 5: Solve for x
    x = 236,368,369,735.68/534,940.48
  6. Step 6: Final answer
    x = 441,859.19

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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.