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Finding the Fourth Proportional to 357,311.56, 493,087.80 and 196,169.26

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Solution

The fourth proportional to 357,311.56, 493,087.80 and 196,169.26 is: 270,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,311.56 : 493,087.80 = 196,169.26 : x
  2. Step 2: Convert to fraction form
    357,311.56/493,087.80 = 196,169.26/x
  3. Step 3: Cross multiply
    357,311.56x = 493,087.80 × 196,169.26
  4. Step 4: Simplify right side
    357,311.56x = 96,728,668,841.03
  5. Step 5: Solve for x
    x = 96,728,668,841.03/357,311.56
  6. Step 6: Final answer
    x = 270,712.40

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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.