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Finding the Fourth Proportional to 300,512.50, 414,720.96 and 166,376.50

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Solution

The fourth proportional to 300,512.50, 414,720.96 and 166,376.50 is: 229,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,512.50 : 414,720.96 = 166,376.50 : x
  2. Step 2: Convert to fraction form
    300,512.50/414,720.96 = 166,376.50/x
  3. Step 3: Cross multiply
    300,512.50x = 414,720.96 × 166,376.50
  4. Step 4: Simplify right side
    300,512.50x = 68,999,821,801.44
  5. Step 5: Solve for x
    x = 68,999,821,801.44/300,512.50
  6. Step 6: Final answer
    x = 229,607.16

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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.