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Finding the Fourth Proportional to 314,324.75, 433,777.56 and 193,535.73

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Solution

The fourth proportional to 314,324.75, 433,777.56 and 193,535.73 is: 267,085.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,324.75 : 433,777.56 = 193,535.73 : x
  2. Step 2: Convert to fraction form
    314,324.75/433,777.56 = 193,535.73/x
  3. Step 3: Cross multiply
    314,324.75x = 433,777.56 × 193,535.73
  4. Step 4: Simplify right side
    314,324.75x = 83,951,456,732.22
  5. Step 5: Solve for x
    x = 83,951,456,732.22/314,324.75
  6. Step 6: Final answer
    x = 267,085.10

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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.