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Finding the Fourth Proportional to 471,517.36, 707,269.14 and 116,531.42

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Solution

The fourth proportional to 471,517.36, 707,269.14 and 116,531.42 is: 174,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,517.36 : 707,269.14 = 116,531.42 : x
  2. Step 2: Convert to fraction form
    471,517.36/707,269.14 = 116,531.42/x
  3. Step 3: Cross multiply
    471,517.36x = 707,269.14 × 116,531.42
  4. Step 4: Simplify right side
    471,517.36x = 82,419,073,670.03
  5. Step 5: Solve for x
    x = 82,419,073,670.03/471,517.36
  6. Step 6: Final answer
    x = 174,795.42

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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.