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Finding the Fourth Proportional to 454,937.30, 682,493.46 and 174,432.68

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Solution

The fourth proportional to 454,937.30, 682,493.46 and 174,432.68 is: 261,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,937.30 : 682,493.46 = 174,432.68 : x
  2. Step 2: Convert to fraction form
    454,937.30/682,493.46 = 174,432.68/x
  3. Step 3: Cross multiply
    454,937.30x = 682,493.46 × 174,432.68
  4. Step 4: Simplify right side
    454,937.30x = 119,049,163,310.27
  5. Step 5: Solve for x
    x = 119,049,163,310.27/454,937.30
  6. Step 6: Final answer
    x = 261,682.57

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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.