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Finding the Fourth Proportional to 325,421.36, 449,028.02 and 204,477

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Solution

The fourth proportional to 325,421.36, 449,028.02 and 204,477 is: 282,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,421.36 : 449,028.02 = 204,477 : x
  2. Step 2: Convert to fraction form
    325,421.36/449,028.02 = 204,477/x
  3. Step 3: Cross multiply
    325,421.36x = 449,028.02 × 204,477
  4. Step 4: Simplify right side
    325,421.36x = 91,815,902,445.54
  5. Step 5: Solve for x
    x = 91,815,902,445.54/325,421.36
  6. Step 6: Final answer
    x = 282,144.67

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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.