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Finding the Fourth Proportional to 329,047.40, 493,571.10 and 311,940.20

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Solution

The fourth proportional to 329,047.40, 493,571.10 and 311,940.20 is: 467,910.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,047.40 : 493,571.10 = 311,940.20 : x
  2. Step 2: Convert to fraction form
    329,047.40/493,571.10 = 311,940.20/x
  3. Step 3: Cross multiply
    329,047.40x = 493,571.10 × 311,940.20
  4. Step 4: Simplify right side
    329,047.40x = 153,964,667,648.22
  5. Step 5: Solve for x
    x = 153,964,667,648.22/329,047.40
  6. Step 6: Final answer
    x = 467,910.30

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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.