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Finding the Fourth Proportional to 325,663.67, 449,440.80 and 204,908.47

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Solution

The fourth proportional to 325,663.67, 449,440.80 and 204,908.47 is: 282,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,663.67 : 449,440.80 = 204,908.47 : x
  2. Step 2: Convert to fraction form
    325,663.67/449,440.80 = 204,908.47/x
  3. Step 3: Cross multiply
    325,663.67x = 449,440.80 × 204,908.47
  4. Step 4: Simplify right side
    325,663.67x = 92,094,226,683.58
  5. Step 5: Solve for x
    x = 92,094,226,683.58/325,663.67
  6. Step 6: Final answer
    x = 282,789.38

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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.