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Finding the Fourth Proportional to 358,052.42, 494,102.43 and 196,907.42

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Solution

The fourth proportional to 358,052.42, 494,102.43 and 196,907.42 is: 271,726.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,052.42 : 494,102.43 = 196,907.42 : x
  2. Step 2: Convert to fraction form
    358,052.42/494,102.43 = 196,907.42/x
  3. Step 3: Cross multiply
    358,052.42x = 494,102.43 × 196,907.42
  4. Step 4: Simplify right side
    358,052.42x = 97,292,434,707.03
  5. Step 5: Solve for x
    x = 97,292,434,707.03/358,052.42
  6. Step 6: Final answer
    x = 271,726.79

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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.