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Finding the Fourth Proportional to 311,497.02, 467,245.53 and 178,284.42

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Solution

The fourth proportional to 311,497.02, 467,245.53 and 178,284.42 is: 267,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,497.02 : 467,245.53 = 178,284.42 : x
  2. Step 2: Convert to fraction form
    311,497.02/467,245.53 = 178,284.42/x
  3. Step 3: Cross multiply
    311,497.02x = 467,245.53 × 178,284.42
  4. Step 4: Simplify right side
    311,497.02x = 83,302,598,313.64
  5. Step 5: Solve for x
    x = 83,302,598,313.64/311,497.02
  6. Step 6: Final answer
    x = 267,426.63

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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.