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Finding the Fourth Proportional to 358,195.57, 494,294.30 and 197,040.40

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Solution

The fourth proportional to 358,195.57, 494,294.30 and 197,040.40 is: 271,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,195.57 : 494,294.30 = 197,040.40 : x
  2. Step 2: Convert to fraction form
    358,195.57/494,294.30 = 197,040.40/x
  3. Step 3: Cross multiply
    358,195.57x = 494,294.30 × 197,040.40
  4. Step 4: Simplify right side
    358,195.57x = 97,395,945,107.68
  5. Step 5: Solve for x
    x = 97,395,945,107.68/358,195.57
  6. Step 6: Final answer
    x = 271,907.18

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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.