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Finding the Fourth Proportional to 274,486.58, 411,687.74 and 74,822.97

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Solution

The fourth proportional to 274,486.58, 411,687.74 and 74,822.97 is: 112,222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,486.58 : 411,687.74 = 74,822.97 : x
  2. Step 2: Convert to fraction form
    274,486.58/411,687.74 = 74,822.97/x
  3. Step 3: Cross multiply
    274,486.58x = 411,687.74 × 74,822.97
  4. Step 4: Simplify right side
    274,486.58x = 30,803,699,045.27
  5. Step 5: Solve for x
    x = 30,803,699,045.27/274,486.58
  6. Step 6: Final answer
    x = 112,222.97

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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.