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Finding the Fourth Proportional to 471,516.03, 706,847.58 and 171,926.54

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Solution

The fourth proportional to 471,516.03, 706,847.58 and 171,926.54 is: 257,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,516.03 : 706,847.58 = 171,926.54 : x
  2. Step 2: Convert to fraction form
    471,516.03/706,847.58 = 171,926.54/x
  3. Step 3: Cross multiply
    471,516.03x = 706,847.58 × 171,926.54
  4. Step 4: Simplify right side
    471,516.03x = 121,525,858,736.77
  5. Step 5: Solve for x
    x = 121,525,858,736.77/471,516.03
  6. Step 6: Final answer
    x = 257,734.31

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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.