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Finding the Fourth Proportional to 264,896.44, 397,733.46 and 165,480.28

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Solution

The fourth proportional to 264,896.44, 397,733.46 and 165,480.28 is: 248,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,896.44 : 397,733.46 = 165,480.28 : x
  2. Step 2: Convert to fraction form
    264,896.44/397,733.46 = 165,480.28/x
  3. Step 3: Cross multiply
    264,896.44x = 397,733.46 × 165,480.28
  4. Step 4: Simplify right side
    264,896.44x = 65,817,044,326.17
  5. Step 5: Solve for x
    x = 65,817,044,326.17/264,896.44
  6. Step 6: Final answer
    x = 248,463.30

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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.