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Finding the Fourth Proportional to 311,926.60, 467,015.10 and 303,178.60

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Solution

The fourth proportional to 311,926.60, 467,015.10 and 303,178.60 is: 453,917.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,926.60 : 467,015.10 = 303,178.60 : x
  2. Step 2: Convert to fraction form
    311,926.60/467,015.10 = 303,178.60/x
  3. Step 3: Cross multiply
    311,926.60x = 467,015.10 × 303,178.60
  4. Step 4: Simplify right side
    311,926.60x = 141,588,984,196.86
  5. Step 5: Solve for x
    x = 141,588,984,196.86/311,926.60
  6. Step 6: Final answer
    x = 453,917.63

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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.