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Finding the Fourth Proportional to 496,531.64, 744,796.32 and 180,859.52

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Solution

The fourth proportional to 496,531.64, 744,796.32 and 180,859.52 is: 271,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,531.64 : 744,796.32 = 180,859.52 : x
  2. Step 2: Convert to fraction form
    496,531.64/744,796.32 = 180,859.52/x
  3. Step 3: Cross multiply
    496,531.64x = 744,796.32 × 180,859.52
  4. Step 4: Simplify right side
    496,531.64x = 134,703,504,932.97
  5. Step 5: Solve for x
    x = 134,703,504,932.97/496,531.64
  6. Step 6: Final answer
    x = 271,288.86

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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.