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Finding the Fourth Proportional to 304,274.31, 419,866.24 and 168,286.65

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Solution

The fourth proportional to 304,274.31, 419,866.24 and 168,286.65 is: 232,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,274.31 : 419,866.24 = 168,286.65 : x
  2. Step 2: Convert to fraction form
    304,274.31/419,866.24 = 168,286.65/x
  3. Step 3: Cross multiply
    304,274.31x = 419,866.24 × 168,286.65
  4. Step 4: Simplify right side
    304,274.31x = 70,657,882,136.26
  5. Step 5: Solve for x
    x = 70,657,882,136.26/304,274.31
  6. Step 6: Final answer
    x = 232,217.71

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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.