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Finding the Fourth Proportional to 452,195.66, 678,307.97 and 227,433.42

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Solution

The fourth proportional to 452,195.66, 678,307.97 and 227,433.42 is: 341,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,195.66 : 678,307.97 = 227,433.42 : x
  2. Step 2: Convert to fraction form
    452,195.66/678,307.97 = 227,433.42/x
  3. Step 3: Cross multiply
    452,195.66x = 678,307.97 × 227,433.42
  4. Step 4: Simplify right side
    452,195.66x = 154,269,901,998.94
  5. Step 5: Solve for x
    x = 154,269,901,998.94/452,195.66
  6. Step 6: Final answer
    x = 341,157.41

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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.