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Finding the Fourth Proportional to 499,271, 748,906.50 and 166,847

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Solution

The fourth proportional to 499,271, 748,906.50 and 166,847 is: 250,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,271 : 748,906.50 = 166,847 : x
  2. Step 2: Convert to fraction form
    499,271/748,906.50 = 166,847/x
  3. Step 3: Cross multiply
    499,271x = 748,906.50 × 166,847
  4. Step 4: Simplify right side
    499,271x = 124,952,802,805.50
  5. Step 5: Solve for x
    x = 124,952,802,805.50/499,271
  6. Step 6: Final answer
    x = 250,270.50

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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.