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Finding the Fourth Proportional to 320,473.98, 442,309.56 and 193,149.68

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Solution

The fourth proportional to 320,473.98, 442,309.56 and 193,149.68 is: 266,579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,473.98 : 442,309.56 = 193,149.68 : x
  2. Step 2: Convert to fraction form
    320,473.98/442,309.56 = 193,149.68/x
  3. Step 3: Cross multiply
    320,473.98x = 442,309.56 × 193,149.68
  4. Step 4: Simplify right side
    320,473.98x = 85,431,949,974.94
  5. Step 5: Solve for x
    x = 85,431,949,974.94/320,473.98
  6. Step 6: Final answer
    x = 266,579.99

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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.