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Finding the Fourth Proportional to 357,978.75, 493,998.03 and 196,832.67

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Solution

The fourth proportional to 357,978.75, 493,998.03 and 196,832.67 is: 271,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,978.75 : 493,998.03 = 196,832.67 : x
  2. Step 2: Convert to fraction form
    357,978.75/493,998.03 = 196,832.67/x
  3. Step 3: Cross multiply
    357,978.75x = 493,998.03 × 196,832.67
  4. Step 4: Simplify right side
    357,978.75x = 97,234,951,219.64
  5. Step 5: Solve for x
    x = 97,234,951,219.64/357,978.75
  6. Step 6: Final answer
    x = 271,622.13

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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.