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Finding the Fourth Proportional to 311,825.80, 467,738.70 and 217,347.40

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Solution

The fourth proportional to 311,825.80, 467,738.70 and 217,347.40 is: 326,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,825.80 : 467,738.70 = 217,347.40 : x
  2. Step 2: Convert to fraction form
    311,825.80/467,738.70 = 217,347.40/x
  3. Step 3: Cross multiply
    311,825.80x = 467,738.70 × 217,347.40
  4. Step 4: Simplify right side
    311,825.80x = 101,661,790,324.38
  5. Step 5: Solve for x
    x = 101,661,790,324.38/311,825.80
  6. Step 6: Final answer
    x = 326,021.10

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1.5x scale

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.