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Finding the Fourth Proportional to 357,795.97, 493,761.52 and 196,654.77

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Solution

The fourth proportional to 357,795.97, 493,761.52 and 196,654.77 is: 271,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,795.97 : 493,761.52 = 196,654.77 : x
  2. Step 2: Convert to fraction form
    357,795.97/493,761.52 = 196,654.77/x
  3. Step 3: Cross multiply
    357,795.97x = 493,761.52 × 196,654.77
  4. Step 4: Simplify right side
    357,795.97x = 97,100,558,396.27
  5. Step 5: Solve for x
    x = 97,100,558,396.27/357,795.97
  6. Step 6: Final answer
    x = 271,385.28

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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.