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Finding the Fourth Proportional to 303,162, 418,393.12 and 226,548.06

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Solution

The fourth proportional to 303,162, 418,393.12 and 226,548.06 is: 312,658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,162 : 418,393.12 = 226,548.06 : x
  2. Step 2: Convert to fraction form
    303,162/418,393.12 = 226,548.06/x
  3. Step 3: Cross multiply
    303,162x = 418,393.12 × 226,548.06
  4. Step 4: Simplify right side
    303,162x = 94,786,149,653.35
  5. Step 5: Solve for x
    x = 94,786,149,653.35/303,162
  6. Step 6: Final answer
    x = 312,658.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.