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Finding the Fourth Proportional to 316,226.25, 436,322.24 and 193,744.49

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Solution

The fourth proportional to 316,226.25, 436,322.24 and 193,744.49 is: 267,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,226.25 : 436,322.24 = 193,744.49 : x
  2. Step 2: Convert to fraction form
    316,226.25/436,322.24 = 193,744.49/x
  3. Step 3: Cross multiply
    316,226.25x = 436,322.24 × 193,744.49
  4. Step 4: Simplify right side
    316,226.25x = 84,535,026,714.12
  5. Step 5: Solve for x
    x = 84,535,026,714.12/316,226.25
  6. Step 6: Final answer
    x = 267,324.51

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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.