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Finding the Fourth Proportional to 410,634, 566,674.92 and 222,218

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Solution

The fourth proportional to 410,634, 566,674.92 and 222,218 is: 306,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,634 : 566,674.92 = 222,218 : x
  2. Step 2: Convert to fraction form
    410,634/566,674.92 = 222,218/x
  3. Step 3: Cross multiply
    410,634x = 566,674.92 × 222,218
  4. Step 4: Simplify right side
    410,634x = 125,925,367,372.56
  5. Step 5: Solve for x
    x = 125,925,367,372.56/410,634
  6. Step 6: Final answer
    x = 306,660.84

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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.