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Finding the Fourth Proportional to 467,759.34, 701,464.86 and 168,158.16

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Solution

The fourth proportional to 467,759.34, 701,464.86 and 168,158.16 is: 252,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,759.34 : 701,464.86 = 168,158.16 : x
  2. Step 2: Convert to fraction form
    467,759.34/701,464.86 = 168,158.16/x
  3. Step 3: Cross multiply
    467,759.34x = 701,464.86 × 168,158.16
  4. Step 4: Simplify right side
    467,759.34x = 117,957,040,162.26
  5. Step 5: Solve for x
    x = 117,957,040,162.26/467,759.34
  6. Step 6: Final answer
    x = 252,174.63

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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.