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Finding the Fourth Proportional to 301,795.39, 416,477.55 and 165,838.10

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Solution

The fourth proportional to 301,795.39, 416,477.55 and 165,838.10 is: 228,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,795.39 : 416,477.55 = 165,838.10 : x
  2. Step 2: Convert to fraction form
    301,795.39/416,477.55 = 165,838.10/x
  3. Step 3: Cross multiply
    301,795.39x = 416,477.55 × 165,838.10
  4. Step 4: Simplify right side
    301,795.39x = 69,067,845,584.66
  5. Step 5: Solve for x
    x = 69,067,845,584.66/301,795.39
  6. Step 6: Final answer
    x = 228,856.53

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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.