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Finding the Fourth Proportional to 504,927.69, 757,170.14 and 189,163.77

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Solution

The fourth proportional to 504,927.69, 757,170.14 and 189,163.77 is: 283,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,927.69 : 757,170.14 = 189,163.77 : x
  2. Step 2: Convert to fraction form
    504,927.69/757,170.14 = 189,163.77/x
  3. Step 3: Cross multiply
    504,927.69x = 757,170.14 × 189,163.77
  4. Step 4: Simplify right side
    504,927.69x = 143,229,157,268.01
  5. Step 5: Solve for x
    x = 143,229,157,268.01/504,927.69
  6. Step 6: Final answer
    x = 283,662.71

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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.