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Finding the Fourth Proportional to 613,245, 919,867.50 and 170,013

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Solution

The fourth proportional to 613,245, 919,867.50 and 170,013 is: 255,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,245 : 919,867.50 = 170,013 : x
  2. Step 2: Convert to fraction form
    613,245/919,867.50 = 170,013/x
  3. Step 3: Cross multiply
    613,245x = 919,867.50 × 170,013
  4. Step 4: Simplify right side
    613,245x = 156,389,433,277.50
  5. Step 5: Solve for x
    x = 156,389,433,277.50/613,245
  6. Step 6: Final answer
    x = 255,019.50

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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.