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Finding the Fourth Proportional to 496,517.12, 744,594.24 and 180,880.64

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Solution

The fourth proportional to 496,517.12, 744,594.24 and 180,880.64 is: 271,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,517.12 : 744,594.24 = 180,880.64 : x
  2. Step 2: Convert to fraction form
    496,517.12/744,594.24 = 180,880.64/x
  3. Step 3: Cross multiply
    496,517.12x = 744,594.24 × 180,880.64
  4. Step 4: Simplify right side
    496,517.12x = 134,682,682,671.51
  5. Step 5: Solve for x
    x = 134,682,682,671.51/496,517.12
  6. Step 6: Final answer
    x = 271,254.86

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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.