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Finding the Fourth Proportional to 357,793.40, 493,753.39 and 196,655.24

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Solution

The fourth proportional to 357,793.40, 493,753.39 and 196,655.24 is: 271,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,793.40 : 493,753.39 = 196,655.24 : x
  2. Step 2: Convert to fraction form
    357,793.40/493,753.39 = 196,655.24/x
  3. Step 3: Cross multiply
    357,793.40x = 493,753.39 × 196,655.24
  4. Step 4: Simplify right side
    357,793.40x = 97,099,192,154.01
  5. Step 5: Solve for x
    x = 97,099,192,154.01/357,793.40
  6. Step 6: Final answer
    x = 271,383.41

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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.