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Finding the Fourth Proportional to 920,016, 1,380,024 and 255,168

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Solution

The fourth proportional to 920,016, 1,380,024 and 255,168 is: 382,752

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,016 : 1,380,024 = 255,168 : x
  2. Step 2: Convert to fraction form
    920,016/1,380,024 = 255,168/x
  3. Step 3: Cross multiply
    920,016x = 1,380,024 × 255,168
  4. Step 4: Simplify right side
    920,016x = 352,137,964,032
  5. Step 5: Solve for x
    x = 352,137,964,032/920,016
  6. Step 6: Final answer
    x = 382,752

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.