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Finding the Fourth Proportional to 358,014.94, 494,043.70 and 196,876.78

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Solution

The fourth proportional to 358,014.94, 494,043.70 and 196,876.78 is: 271,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,014.94 : 494,043.70 = 196,876.78 : x
  2. Step 2: Convert to fraction form
    358,014.94/494,043.70 = 196,876.78/x
  3. Step 3: Cross multiply
    358,014.94x = 494,043.70 × 196,876.78
  4. Step 4: Simplify right side
    358,014.94x = 97,265,732,835.29
  5. Step 5: Solve for x
    x = 97,265,732,835.29/358,014.94
  6. Step 6: Final answer
    x = 271,680.65

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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.