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Finding the Fourth Proportional to 286,274.47, 395,107.36 and 165,485.77

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Solution

The fourth proportional to 286,274.47, 395,107.36 and 165,485.77 is: 228,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,274.47 : 395,107.36 = 165,485.77 : x
  2. Step 2: Convert to fraction form
    286,274.47/395,107.36 = 165,485.77/x
  3. Step 3: Cross multiply
    286,274.47x = 395,107.36 × 165,485.77
  4. Step 4: Simplify right side
    286,274.47x = 65,384,645,734.93
  5. Step 5: Solve for x
    x = 65,384,645,734.93/286,274.47
  6. Step 6: Final answer
    x = 228,398.46

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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.