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Finding the Fourth Proportional to 357,334.70, 493,122.87 and 196,200.18

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Solution

The fourth proportional to 357,334.70, 493,122.87 and 196,200.18 is: 270,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,334.70 : 493,122.87 = 196,200.18 : x
  2. Step 2: Convert to fraction form
    357,334.70/493,122.87 = 196,200.18/x
  3. Step 3: Cross multiply
    357,334.70x = 493,122.87 × 196,200.18
  4. Step 4: Simplify right side
    357,334.70x = 96,750,795,856.12
  5. Step 5: Solve for x
    x = 96,750,795,856.12/357,334.70
  6. Step 6: Final answer
    x = 270,756.79

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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.