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Finding the Fourth Proportional to 301,848.24, 416,530.42 and 165,879.26

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Solution

The fourth proportional to 301,848.24, 416,530.42 and 165,879.26 is: 228,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,848.24 : 416,530.42 = 165,879.26 : x
  2. Step 2: Convert to fraction form
    301,848.24/416,530.42 = 165,879.26/x
  3. Step 3: Cross multiply
    301,848.24x = 416,530.42 × 165,879.26
  4. Step 4: Simplify right side
    301,848.24x = 69,093,757,837.09
  5. Step 5: Solve for x
    x = 69,093,757,837.09/301,848.24
  6. Step 6: Final answer
    x = 228,902.30

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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.