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Finding the Fourth Proportional to 471,954.92, 707,458.34 and 151,871.55

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Solution

The fourth proportional to 471,954.92, 707,458.34 and 151,871.55 is: 227,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,954.92 : 707,458.34 = 151,871.55 : x
  2. Step 2: Convert to fraction form
    471,954.92/707,458.34 = 151,871.55/x
  3. Step 3: Cross multiply
    471,954.92x = 707,458.34 × 151,871.55
  4. Step 4: Simplify right side
    471,954.92x = 107,442,794,656.23
  5. Step 5: Solve for x
    x = 107,442,794,656.23/471,954.92
  6. Step 6: Final answer
    x = 227,654.78

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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.