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Finding the Fourth Proportional to 286,076.39, 394,511.06 and 171,336.65

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Solution

The fourth proportional to 286,076.39, 394,511.06 and 171,336.65 is: 236,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,076.39 : 394,511.06 = 171,336.65 : x
  2. Step 2: Convert to fraction form
    286,076.39/394,511.06 = 171,336.65/x
  3. Step 3: Cross multiply
    286,076.39x = 394,511.06 × 171,336.65
  4. Step 4: Simplify right side
    286,076.39x = 67,594,201,864.14
  5. Step 5: Solve for x
    x = 67,594,201,864.14/286,076.39
  6. Step 6: Final answer
    x = 236,280.26

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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.