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Finding the Fourth Proportional to 311,497.26, 467,223.99 and 177,959.04

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Solution

The fourth proportional to 311,497.26, 467,223.99 and 177,959.04 is: 266,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,497.26 : 467,223.99 = 177,959.04 : x
  2. Step 2: Convert to fraction form
    311,497.26/467,223.99 = 177,959.04/x
  3. Step 3: Cross multiply
    311,497.26x = 467,223.99 × 177,959.04
  4. Step 4: Simplify right side
    311,497.26x = 83,146,732,725.37
  5. Step 5: Solve for x
    x = 83,146,732,725.37/311,497.26
  6. Step 6: Final answer
    x = 266,926.05

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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.