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Finding the Fourth Proportional to 358,208.34, 494,047.66 and 222,166

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Solution

The fourth proportional to 358,208.34, 494,047.66 and 222,166 is: 306,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,208.34 : 494,047.66 = 222,166 : x
  2. Step 2: Convert to fraction form
    358,208.34/494,047.66 = 222,166/x
  3. Step 3: Cross multiply
    358,208.34x = 494,047.66 × 222,166
  4. Step 4: Simplify right side
    358,208.34x = 109,760,592,431.56
  5. Step 5: Solve for x
    x = 109,760,592,431.56/358,208.34
  6. Step 6: Final answer
    x = 306,415.51

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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.