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Finding the Fourth Proportional to 329,356.92, 494,696.70 and 196,496.76

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Solution

The fourth proportional to 329,356.92, 494,696.70 and 196,496.76 is: 295,139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,356.92 : 494,696.70 = 196,496.76 : x
  2. Step 2: Convert to fraction form
    329,356.92/494,696.70 = 196,496.76/x
  3. Step 3: Cross multiply
    329,356.92x = 494,696.70 × 196,496.76
  4. Step 4: Simplify right side
    329,356.92x = 97,206,298,732.69
  5. Step 5: Solve for x
    x = 97,206,298,732.69/329,356.92
  6. Step 6: Final answer
    x = 295,139.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.