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Finding the Fourth Proportional to 357,866.42, 493,857.26 and 196,731.85

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Solution

The fourth proportional to 357,866.42, 493,857.26 and 196,731.85 is: 271,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,866.42 : 493,857.26 = 196,731.85 : x
  2. Step 2: Convert to fraction form
    357,866.42/493,857.26 = 196,731.85/x
  3. Step 3: Cross multiply
    357,866.42x = 493,857.26 × 196,731.85
  4. Step 4: Simplify right side
    357,866.42x = 97,157,453,296.44
  5. Step 5: Solve for x
    x = 97,157,453,296.44/357,866.42
  6. Step 6: Final answer
    x = 271,490.83

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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.