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Finding the Fourth Proportional to 471,362.44, 650,493.86 and 256,516.36

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Solution

The fourth proportional to 471,362.44, 650,493.86 and 256,516.36 is: 354,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,362.44 : 650,493.86 = 256,516.36 : x
  2. Step 2: Convert to fraction form
    471,362.44/650,493.86 = 256,516.36/x
  3. Step 3: Cross multiply
    471,362.44x = 650,493.86 × 256,516.36
  4. Step 4: Simplify right side
    471,362.44x = 166,862,317,169.55
  5. Step 5: Solve for x
    x = 166,862,317,169.55/471,362.44
  6. Step 6: Final answer
    x = 354,000.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.