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Finding the Fourth Proportional to 358,206.34, 494,044.90 and 222,164

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Solution

The fourth proportional to 358,206.34, 494,044.90 and 222,164 is: 306,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,206.34 : 494,044.90 = 222,164 : x
  2. Step 2: Convert to fraction form
    358,206.34/494,044.90 = 222,164/x
  3. Step 3: Cross multiply
    358,206.34x = 494,044.90 × 222,164
  4. Step 4: Simplify right side
    358,206.34x = 109,758,991,163.60
  5. Step 5: Solve for x
    x = 109,758,991,163.60/358,206.34
  6. Step 6: Final answer
    x = 306,412.75

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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.