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Finding the Fourth Proportional to 286,825.44, 395,654.64 and 238,151.84

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Solution

The fourth proportional to 286,825.44, 395,654.64 and 238,151.84 is: 328,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,825.44 : 395,654.64 = 238,151.84 : x
  2. Step 2: Convert to fraction form
    286,825.44/395,654.64 = 238,151.84/x
  3. Step 3: Cross multiply
    286,825.44x = 395,654.64 × 238,151.84
  4. Step 4: Simplify right side
    286,825.44x = 94,225,880,520.54
  5. Step 5: Solve for x
    x = 94,225,880,520.54/286,825.44
  6. Step 6: Final answer
    x = 328,512.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.