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Finding the Fourth Proportional to 491,930.48, 737,958.02 and 192,372.14

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Solution

The fourth proportional to 491,930.48, 737,958.02 and 192,372.14 is: 288,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,930.48 : 737,958.02 = 192,372.14 : x
  2. Step 2: Convert to fraction form
    491,930.48/737,958.02 = 192,372.14/x
  3. Step 3: Cross multiply
    491,930.48x = 737,958.02 × 192,372.14
  4. Step 4: Simplify right side
    491,930.48x = 141,962,558,885.91
  5. Step 5: Solve for x
    x = 141,962,558,885.91/491,930.48
  6. Step 6: Final answer
    x = 288,582.57

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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.