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Finding the Fourth Proportional to 357,739.73, 493,656.95 and 196,591.31

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Solution

The fourth proportional to 357,739.73, 493,656.95 and 196,591.31 is: 271,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,739.73 : 493,656.95 = 196,591.31 : x
  2. Step 2: Convert to fraction form
    357,739.73/493,656.95 = 196,591.31/x
  3. Step 3: Cross multiply
    357,739.73x = 493,656.95 × 196,591.31
  4. Step 4: Simplify right side
    357,739.73x = 97,048,664,514.30
  5. Step 5: Solve for x
    x = 97,048,664,514.30/357,739.73
  6. Step 6: Final answer
    x = 271,282.88

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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.