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Finding the Fourth Proportional to 264,893.44, 397,728.96 and 165,477.28

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Solution

The fourth proportional to 264,893.44, 397,728.96 and 165,477.28 is: 248,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,893.44 : 397,728.96 = 165,477.28 : x
  2. Step 2: Convert to fraction form
    264,893.44/397,728.96 = 165,477.28/x
  3. Step 3: Cross multiply
    264,893.44x = 397,728.96 × 165,477.28
  4. Step 4: Simplify right side
    264,893.44x = 65,815,106,478.03
  5. Step 5: Solve for x
    x = 65,815,106,478.03/264,893.44
  6. Step 6: Final answer
    x = 248,458.80

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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.