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Finding the Fourth Proportional to 358,048.34, 494,119.38 and 196,915.84

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Solution

The fourth proportional to 358,048.34, 494,119.38 and 196,915.84 is: 271,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,048.34 : 494,119.38 = 196,915.84 : x
  2. Step 2: Convert to fraction form
    358,048.34/494,119.38 = 196,915.84/x
  3. Step 3: Cross multiply
    358,048.34x = 494,119.38 × 196,915.84
  4. Step 4: Simplify right side
    358,048.34x = 97,299,932,772.98
  5. Step 5: Solve for x
    x = 97,299,932,772.98/358,048.34
  6. Step 6: Final answer
    x = 271,750.83

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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.