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Finding the Fourth Proportional to 353,738.14, 488,202.74 and 200,825.82

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Solution

The fourth proportional to 353,738.14, 488,202.74 and 200,825.82 is: 277,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,738.14 : 488,202.74 = 200,825.82 : x
  2. Step 2: Convert to fraction form
    353,738.14/488,202.74 = 200,825.82/x
  3. Step 3: Cross multiply
    353,738.14x = 488,202.74 × 200,825.82
  4. Step 4: Simplify right side
    353,738.14x = 98,043,715,586.75
  5. Step 5: Solve for x
    x = 98,043,715,586.75/353,738.14
  6. Step 6: Final answer
    x = 277,164.67

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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.