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Finding the Fourth Proportional to 471,520.96, 707,274.44 and 116,534.96

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Solution

The fourth proportional to 471,520.96, 707,274.44 and 116,534.96 is: 174,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,520.96 : 707,274.44 = 116,534.96 : x
  2. Step 2: Convert to fraction form
    471,520.96/707,274.44 = 116,534.96/x
  3. Step 3: Cross multiply
    471,520.96x = 707,274.44 × 116,534.96
  4. Step 4: Simplify right side
    471,520.96x = 82,422,198,574.42
  5. Step 5: Solve for x
    x = 82,422,198,574.42/471,520.96
  6. Step 6: Final answer
    x = 174,800.71

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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.