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Finding the Fourth Proportional to 271,415.70, 406,926.72 and 182,448.54

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Solution

The fourth proportional to 271,415.70, 406,926.72 and 182,448.54 is: 273,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,415.70 : 406,926.72 = 182,448.54 : x
  2. Step 2: Convert to fraction form
    271,415.70/406,926.72 = 182,448.54/x
  3. Step 3: Cross multiply
    271,415.70x = 406,926.72 × 182,448.54
  4. Step 4: Simplify right side
    271,415.70x = 74,243,185,950.99
  5. Step 5: Solve for x
    x = 74,243,185,950.99/271,415.70
  6. Step 6: Final answer
    x = 273,540.50

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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.