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Finding the Fourth Proportional to 381,869.44, 573,304.74 and 256,072.59

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Solution

The fourth proportional to 381,869.44, 573,304.74 and 256,072.59 is: 384,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,869.44 : 573,304.74 = 256,072.59 : x
  2. Step 2: Convert to fraction form
    381,869.44/573,304.74 = 256,072.59/x
  3. Step 3: Cross multiply
    381,869.44x = 573,304.74 × 256,072.59
  4. Step 4: Simplify right side
    381,869.44x = 146,807,628,670.80
  5. Step 5: Solve for x
    x = 146,807,628,670.80/381,869.44
  6. Step 6: Final answer
    x = 384,444.56

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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.