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Finding the Fourth Proportional to 496,304.86, 744,568.01 and 180,761.77

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Solution

The fourth proportional to 496,304.86, 744,568.01 and 180,761.77 is: 271,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,304.86 : 744,568.01 = 180,761.77 : x
  2. Step 2: Convert to fraction form
    496,304.86/744,568.01 = 180,761.77/x
  3. Step 3: Cross multiply
    496,304.86x = 744,568.01 × 180,761.77
  4. Step 4: Simplify right side
    496,304.86x = 134,589,428,906.33
  5. Step 5: Solve for x
    x = 134,589,428,906.33/496,304.86
  6. Step 6: Final answer
    x = 271,182.98

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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.