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Finding the Fourth Proportional to 357,691.37, 493,613.95 and 196,556.81

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Solution

The fourth proportional to 357,691.37, 493,613.95 and 196,556.81 is: 271,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,691.37 : 493,613.95 = 196,556.81 : x
  2. Step 2: Convert to fraction form
    357,691.37/493,613.95 = 196,556.81/x
  3. Step 3: Cross multiply
    357,691.37x = 493,613.95 × 196,556.81
  4. Step 4: Simplify right side
    357,691.37x = 97,023,183,383.50
  5. Step 5: Solve for x
    x = 97,023,183,383.50/357,691.37
  6. Step 6: Final answer
    x = 271,248.32

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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.