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Finding the Fourth Proportional to 286,378.36, 395,178.94 and 165,527.44

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Solution

The fourth proportional to 286,378.36, 395,178.94 and 165,527.44 is: 228,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,378.36 : 395,178.94 = 165,527.44 : x
  2. Step 2: Convert to fraction form
    286,378.36/395,178.94 = 165,527.44/x
  3. Step 3: Cross multiply
    286,378.36x = 395,178.94 × 165,527.44
  4. Step 4: Simplify right side
    286,378.36x = 65,412,958,280.11
  5. Step 5: Solve for x
    x = 65,412,958,280.11/286,378.36
  6. Step 6: Final answer
    x = 228,414.46

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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.