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Finding the Fourth Proportional to 376,589.88, 564,538.68 and 163,224

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Solution

The fourth proportional to 376,589.88, 564,538.68 and 163,224 is: 244,685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,589.88 : 564,538.68 = 163,224 : x
  2. Step 2: Convert to fraction form
    376,589.88/564,538.68 = 163,224/x
  3. Step 3: Cross multiply
    376,589.88x = 564,538.68 × 163,224
  4. Step 4: Simplify right side
    376,589.88x = 92,146,261,504.32
  5. Step 5: Solve for x
    x = 92,146,261,504.32/376,589.88
  6. Step 6: Final answer
    x = 244,685.97

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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.