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Finding the Fourth Proportional to 499,266, 748,899 and 166,842

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Solution

The fourth proportional to 499,266, 748,899 and 166,842 is: 250,263

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,266 : 748,899 = 166,842 : x
  2. Step 2: Convert to fraction form
    499,266/748,899 = 166,842/x
  3. Step 3: Cross multiply
    499,266x = 748,899 × 166,842
  4. Step 4: Simplify right side
    499,266x = 124,947,806,958
  5. Step 5: Solve for x
    x = 124,947,806,958/499,266
  6. Step 6: Final answer
    x = 250,263

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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.