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Finding the Fourth Proportional to 358,144.12, 494,245.16 and 197,005.96

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Solution

The fourth proportional to 358,144.12, 494,245.16 and 197,005.96 is: 271,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,144.12 : 494,245.16 = 197,005.96 : x
  2. Step 2: Convert to fraction form
    358,144.12/494,245.16 = 197,005.96/x
  3. Step 3: Cross multiply
    358,144.12x = 494,245.16 × 197,005.96
  4. Step 4: Simplify right side
    358,144.12x = 97,369,242,221.15
  5. Step 5: Solve for x
    x = 97,369,242,221.15/358,144.12
  6. Step 6: Final answer
    x = 271,871.68

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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.