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Finding the Fourth Proportional to 286,414.83, 395,200.35 and 165,511.80

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Solution

The fourth proportional to 286,414.83, 395,200.35 and 165,511.80 is: 228,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,414.83 : 395,200.35 = 165,511.80 : x
  2. Step 2: Convert to fraction form
    286,414.83/395,200.35 = 165,511.80/x
  3. Step 3: Cross multiply
    286,414.83x = 395,200.35 × 165,511.80
  4. Step 4: Simplify right side
    286,414.83x = 65,410,321,289.13
  5. Step 5: Solve for x
    x = 65,410,321,289.13/286,414.83
  6. Step 6: Final answer
    x = 228,376.17

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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.