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Finding the Fourth Proportional to 282,014.73, 388,960.38 and 174,644.37

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Solution

The fourth proportional to 282,014.73, 388,960.38 and 174,644.37 is: 240,873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,014.73 : 388,960.38 = 174,644.37 : x
  2. Step 2: Convert to fraction form
    282,014.73/388,960.38 = 174,644.37/x
  3. Step 3: Cross multiply
    282,014.73x = 388,960.38 × 174,644.37
  4. Step 4: Simplify right side
    282,014.73x = 67,929,740,520.06
  5. Step 5: Solve for x
    x = 67,929,740,520.06/282,014.73
  6. Step 6: Final answer
    x = 240,873.02

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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.