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Finding the Fourth Proportional to 447,455.64, 671,161.56 and 166,951

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Solution

The fourth proportional to 447,455.64, 671,161.56 and 166,951 is: 250,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,455.64 : 671,161.56 = 166,951 : x
  2. Step 2: Convert to fraction form
    447,455.64/671,161.56 = 166,951/x
  3. Step 3: Cross multiply
    447,455.64x = 671,161.56 × 166,951
  4. Step 4: Simplify right side
    447,455.64x = 112,051,093,603.56
  5. Step 5: Solve for x
    x = 112,051,093,603.56/447,455.64
  6. Step 6: Final answer
    x = 250,418.33

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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.