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Finding the Fourth Proportional to 357,771.34, 493,735.56 and 196,623.46

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Solution

The fourth proportional to 357,771.34, 493,735.56 and 196,623.46 is: 271,346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,771.34 : 493,735.56 = 196,623.46 : x
  2. Step 2: Convert to fraction form
    357,771.34/493,735.56 = 196,623.46/x
  3. Step 3: Cross multiply
    357,771.34x = 493,735.56 × 196,623.46
  4. Step 4: Simplify right side
    357,771.34x = 97,079,994,132.24
  5. Step 5: Solve for x
    x = 97,079,994,132.24/357,771.34
  6. Step 6: Final answer
    x = 271,346.48

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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.