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Finding the Fourth Proportional to 358,003.42, 494,040.18 and 196,857.16

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Solution

The fourth proportional to 358,003.42, 494,040.18 and 196,857.16 is: 271,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,003.42 : 494,040.18 = 196,857.16 : x
  2. Step 2: Convert to fraction form
    358,003.42/494,040.18 = 196,857.16/x
  3. Step 3: Cross multiply
    358,003.42x = 494,040.18 × 196,857.16
  4. Step 4: Simplify right side
    358,003.42x = 97,255,346,760.69
  5. Step 5: Solve for x
    x = 97,255,346,760.69/358,003.42
  6. Step 6: Final answer
    x = 271,660.38

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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.