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Finding the Fourth Proportional to 452,199.66, 678,313.98 and 227,437.42

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Solution

The fourth proportional to 452,199.66, 678,313.98 and 227,437.42 is: 341,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,199.66 : 678,313.98 = 227,437.42 : x
  2. Step 2: Convert to fraction form
    452,199.66/678,313.98 = 227,437.42/x
  3. Step 3: Cross multiply
    452,199.66x = 678,313.98 × 227,437.42
  4. Step 4: Simplify right side
    452,199.66x = 154,273,981,561.13
  5. Step 5: Solve for x
    x = 154,273,981,561.13/452,199.66
  6. Step 6: Final answer
    x = 341,163.42

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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.