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Finding the Fourth Proportional to 357,871.18, 493,863.83 and 196,736.59

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Solution

The fourth proportional to 357,871.18, 493,863.83 and 196,736.59 is: 271,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,871.18 : 493,863.83 = 196,736.59 : x
  2. Step 2: Convert to fraction form
    357,871.18/493,863.83 = 196,736.59/x
  3. Step 3: Cross multiply
    357,871.18x = 493,863.83 × 196,736.59
  4. Step 4: Simplify right side
    357,871.18x = 97,161,085,838.54
  5. Step 5: Solve for x
    x = 97,161,085,838.54/357,871.18
  6. Step 6: Final answer
    x = 271,497.37

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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.