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Finding the Fourth Proportional to 454,751.64, 682,145.46 and 170,412.48

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Solution

The fourth proportional to 454,751.64, 682,145.46 and 170,412.48 is: 255,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,751.64 : 682,145.46 = 170,412.48 : x
  2. Step 2: Convert to fraction form
    454,751.64/682,145.46 = 170,412.48/x
  3. Step 3: Cross multiply
    454,751.64x = 682,145.46 × 170,412.48
  4. Step 4: Simplify right side
    454,751.64x = 116,246,099,559.34
  5. Step 5: Solve for x
    x = 116,246,099,559.34/454,751.64
  6. Step 6: Final answer
    x = 255,625.47

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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.