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Finding the Fourth Proportional to 362,216.28, 543,102.80 and 172,734.60

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Solution

The fourth proportional to 362,216.28, 543,102.80 and 172,734.60 is: 258,996.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,216.28 : 543,102.80 = 172,734.60 : x
  2. Step 2: Convert to fraction form
    362,216.28/543,102.80 = 172,734.60/x
  3. Step 3: Cross multiply
    362,216.28x = 543,102.80 × 172,734.60
  4. Step 4: Simplify right side
    362,216.28x = 93,812,644,053.21
  5. Step 5: Solve for x
    x = 93,812,644,053.21/362,216.28
  6. Step 6: Final answer
    x = 258,996.21

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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.