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Finding the Fourth Proportional to 358,148.58, 494,234.64 and 197,003.58

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Solution

The fourth proportional to 358,148.58, 494,234.64 and 197,003.58 is: 271,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,148.58 : 494,234.64 = 197,003.58 : x
  2. Step 2: Convert to fraction form
    358,148.58/494,234.64 = 197,003.58/x
  3. Step 3: Cross multiply
    358,148.58x = 494,234.64 × 197,003.58
  4. Step 4: Simplify right side
    358,148.58x = 97,365,993,440.01
  5. Step 5: Solve for x
    x = 97,365,993,440.01/358,148.58
  6. Step 6: Final answer
    x = 271,859.22

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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.