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Finding the Fourth Proportional to 357,211.84, 492,958.71 and 196,081.89

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Solution

The fourth proportional to 357,211.84, 492,958.71 and 196,081.89 is: 270,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,211.84 : 492,958.71 = 196,081.89 : x
  2. Step 2: Convert to fraction form
    357,211.84/492,958.71 = 196,081.89/x
  3. Step 3: Cross multiply
    357,211.84x = 492,958.71 × 196,081.89
  4. Step 4: Simplify right side
    357,211.84x = 96,660,275,548.76
  5. Step 5: Solve for x
    x = 96,660,275,548.76/357,211.84
  6. Step 6: Final answer
    x = 270,596.51

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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.