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Finding the Fourth Proportional to 538,948.29, 743,716.53 and 309,542.93

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Solution

The fourth proportional to 538,948.29, 743,716.53 and 309,542.93 is: 427,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,948.29 : 743,716.53 = 309,542.93 : x
  2. Step 2: Convert to fraction form
    538,948.29/743,716.53 = 309,542.93/x
  3. Step 3: Cross multiply
    538,948.29x = 743,716.53 × 309,542.93
  4. Step 4: Simplify right side
    538,948.29x = 230,212,192,855.99
  5. Step 5: Solve for x
    x = 230,212,192,855.99/538,948.29
  6. Step 6: Final answer
    x = 427,150.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.