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Finding the Fourth Proportional to 311,946.60, 467,045.10 and 303,198.60

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Solution

The fourth proportional to 311,946.60, 467,045.10 and 303,198.60 is: 453,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,946.60 : 467,045.10 = 303,198.60 : x
  2. Step 2: Convert to fraction form
    311,946.60/467,045.10 = 303,198.60/x
  3. Step 3: Cross multiply
    311,946.60x = 467,045.10 × 303,198.60
  4. Step 4: Simplify right side
    311,946.60x = 141,607,420,456.86
  5. Step 5: Solve for x
    x = 141,607,420,456.86/311,946.60
  6. Step 6: Final answer
    x = 453,947.63

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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.