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Finding the Fourth Proportional to 357,967.08, 494,007.30 and 196,834.41

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Solution

The fourth proportional to 357,967.08, 494,007.30 and 196,834.41 is: 271,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,967.08 : 494,007.30 = 196,834.41 : x
  2. Step 2: Convert to fraction form
    357,967.08/494,007.30 = 196,834.41/x
  3. Step 3: Cross multiply
    357,967.08x = 494,007.30 × 196,834.41
  4. Step 4: Simplify right side
    357,967.08x = 97,237,635,431.19
  5. Step 5: Solve for x
    x = 97,237,635,431.19/357,967.08
  6. Step 6: Final answer
    x = 271,638.49

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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.