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Finding the Fourth Proportional to 263,702.96, 395,667.72 and 174,987.44

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Solution

The fourth proportional to 263,702.96, 395,667.72 and 174,987.44 is: 262,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,702.96 : 395,667.72 = 174,987.44 : x
  2. Step 2: Convert to fraction form
    263,702.96/395,667.72 = 174,987.44/x
  3. Step 3: Cross multiply
    263,702.96x = 395,667.72 × 174,987.44
  4. Step 4: Simplify right side
    263,702.96x = 69,236,881,413.44
  5. Step 5: Solve for x
    x = 69,236,881,413.44/263,702.96
  6. Step 6: Final answer
    x = 262,556.33

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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.