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Finding the Fourth Proportional to 301,716.96, 416,323.12 and 174,367.96

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Solution

The fourth proportional to 301,716.96, 416,323.12 and 174,367.96 is: 240,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,716.96 : 416,323.12 = 174,367.96 : x
  2. Step 2: Convert to fraction form
    301,716.96/416,323.12 = 174,367.96/x
  3. Step 3: Cross multiply
    301,716.96x = 416,323.12 × 174,367.96
  4. Step 4: Simplify right side
    301,716.96x = 72,593,413,135.24
  5. Step 5: Solve for x
    x = 72,593,413,135.24/301,716.96
  6. Step 6: Final answer
    x = 240,601.04

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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.