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Finding the Fourth Proportional to 491,441.34, 737,161.41 and 154,511.42

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Solution

The fourth proportional to 491,441.34, 737,161.41 and 154,511.42 is: 231,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,441.34 : 737,161.41 = 154,511.42 : x
  2. Step 2: Convert to fraction form
    491,441.34/737,161.41 = 154,511.42/x
  3. Step 3: Cross multiply
    491,441.34x = 737,161.41 × 154,511.42
  4. Step 4: Simplify right side
    491,441.34x = 113,899,852,252.79
  5. Step 5: Solve for x
    x = 113,899,852,252.79/491,441.34
  6. Step 6: Final answer
    x = 231,766.93

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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.