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Finding the Fourth Proportional to 499,275, 748,912.50 and 166,851

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Solution

The fourth proportional to 499,275, 748,912.50 and 166,851 is: 250,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,275 : 748,912.50 = 166,851 : x
  2. Step 2: Convert to fraction form
    499,275/748,912.50 = 166,851/x
  3. Step 3: Cross multiply
    499,275x = 748,912.50 × 166,851
  4. Step 4: Simplify right side
    499,275x = 124,956,799,537.50
  5. Step 5: Solve for x
    x = 124,956,799,537.50/499,275
  6. Step 6: Final answer
    x = 250,276.50

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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.