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Finding the Fourth Proportional to 304,322.24, 419,916.48 and 196,896.80

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Solution

The fourth proportional to 304,322.24, 419,916.48 and 196,896.80 is: 271,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,322.24 : 419,916.48 = 196,896.80 : x
  2. Step 2: Convert to fraction form
    304,322.24/419,916.48 = 196,896.80/x
  3. Step 3: Cross multiply
    304,322.24x = 419,916.48 × 196,896.80
  4. Step 4: Simplify right side
    304,322.24x = 82,680,211,179.26
  5. Step 5: Solve for x
    x = 82,680,211,179.26/304,322.24
  6. Step 6: Final answer
    x = 271,686.39

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1.5x scale

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.