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Finding the Fourth Proportional to 274,715.14, 412,006.11 and 75,036.46

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Solution

The fourth proportional to 274,715.14, 412,006.11 and 75,036.46 is: 112,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,715.14 : 412,006.11 = 75,036.46 : x
  2. Step 2: Convert to fraction form
    274,715.14/412,006.11 = 75,036.46/x
  3. Step 3: Cross multiply
    274,715.14x = 412,006.11 × 75,036.46
  4. Step 4: Simplify right side
    274,715.14x = 30,915,479,992.77
  5. Step 5: Solve for x
    x = 30,915,479,992.77/274,715.14
  6. Step 6: Final answer
    x = 112,536.50

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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.