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Finding the Fourth Proportional to 311,995.84, 467,605.50 and 151,940.92

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Solution

The fourth proportional to 311,995.84, 467,605.50 and 151,940.92 is: 227,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,995.84 : 467,605.50 = 151,940.92 : x
  2. Step 2: Convert to fraction form
    311,995.84/467,605.50 = 151,940.92/x
  3. Step 3: Cross multiply
    311,995.84x = 467,605.50 × 151,940.92
  4. Step 4: Simplify right side
    311,995.84x = 71,048,409,867.06
  5. Step 5: Solve for x
    x = 71,048,409,867.06/311,995.84
  6. Step 6: Final answer
    x = 227,722.30

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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.