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Finding the Fourth Proportional to 301,848.48, 416,530.77 and 165,879.51

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Solution

The fourth proportional to 301,848.48, 416,530.77 and 165,879.51 is: 228,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,848.48 : 416,530.77 = 165,879.51 : x
  2. Step 2: Convert to fraction form
    301,848.48/416,530.77 = 165,879.51/x
  3. Step 3: Cross multiply
    301,848.48x = 416,530.77 × 165,879.51
  4. Step 4: Simplify right side
    301,848.48x = 69,093,917,843.48
  5. Step 5: Solve for x
    x = 69,093,917,843.48/301,848.48
  6. Step 6: Final answer
    x = 228,902.65

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Why These Related Problems?

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