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Finding the Fourth Proportional to 292,648.96, 403,853.44 and 158,512

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Solution

The fourth proportional to 292,648.96, 403,853.44 and 158,512 is: 218,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,648.96 : 403,853.44 = 158,512 : x
  2. Step 2: Convert to fraction form
    292,648.96/403,853.44 = 158,512/x
  3. Step 3: Cross multiply
    292,648.96x = 403,853.44 × 158,512
  4. Step 4: Simplify right side
    292,648.96x = 64,015,616,481.28
  5. Step 5: Solve for x
    x = 64,015,616,481.28/292,648.96
  6. Step 6: Final answer
    x = 218,745.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.