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Finding the Fourth Proportional to 508,250.10, 701,469.10 and 281,968.50

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Solution

The fourth proportional to 508,250.10, 701,469.10 and 281,968.50 is: 389,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,250.10 : 701,469.10 = 281,968.50 : x
  2. Step 2: Convert to fraction form
    508,250.10/701,469.10 = 281,968.50/x
  3. Step 3: Cross multiply
    508,250.10x = 701,469.10 × 281,968.50
  4. Step 4: Simplify right side
    508,250.10x = 197,792,189,923.35
  5. Step 5: Solve for x
    x = 197,792,189,923.35/508,250.10
  6. Step 6: Final answer
    x = 389,163.11

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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.