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Finding the Fourth Proportional to 357,988.48, 494,027.46 and 196,844.56

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Solution

The fourth proportional to 357,988.48, 494,027.46 and 196,844.56 is: 271,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,988.48 : 494,027.46 = 196,844.56 : x
  2. Step 2: Convert to fraction form
    357,988.48/494,027.46 = 196,844.56/x
  3. Step 3: Cross multiply
    357,988.48x = 494,027.46 × 196,844.56
  4. Step 4: Simplify right side
    357,988.48x = 97,246,617,991.62
  5. Step 5: Solve for x
    x = 97,246,617,991.62/357,988.48
  6. Step 6: Final answer
    x = 271,647.34

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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.