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Finding the Fourth Proportional to 357,211.96, 492,958.89 and 196,082.01

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Solution

The fourth proportional to 357,211.96, 492,958.89 and 196,082.01 is: 270,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,211.96 : 492,958.89 = 196,082.01 : x
  2. Step 2: Convert to fraction form
    357,211.96/492,958.89 = 196,082.01/x
  3. Step 3: Cross multiply
    357,211.96x = 492,958.89 × 196,082.01
  4. Step 4: Simplify right side
    357,211.96x = 96,660,369,998.57
  5. Step 5: Solve for x
    x = 96,660,369,998.57/357,211.96
  6. Step 6: Final answer
    x = 270,596.68

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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.