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Finding the Fourth Proportional to 357,896.56, 493,906.68 and 196,755.67

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Solution

The fourth proportional to 357,896.56, 493,906.68 and 196,755.67 is: 271,528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,896.56 : 493,906.68 = 196,755.67 : x
  2. Step 2: Convert to fraction form
    357,896.56/493,906.68 = 196,755.67/x
  3. Step 3: Cross multiply
    357,896.56x = 493,906.68 × 196,755.67
  4. Step 4: Simplify right side
    357,896.56x = 97,178,936,287.56
  5. Step 5: Solve for x
    x = 97,178,936,287.56/357,896.56
  6. Step 6: Final answer
    x = 271,528.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.