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Finding the Fourth Proportional to 274,834.20, 412,324.20 and 97,322.70

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Solution

The fourth proportional to 274,834.20, 412,324.20 and 97,322.70 is: 146,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,834.20 : 412,324.20 = 97,322.70 : x
  2. Step 2: Convert to fraction form
    274,834.20/412,324.20 = 97,322.70/x
  3. Step 3: Cross multiply
    274,834.20x = 412,324.20 × 97,322.70
  4. Step 4: Simplify right side
    274,834.20x = 40,128,504,419.34
  5. Step 5: Solve for x
    x = 40,128,504,419.34/274,834.20
  6. Step 6: Final answer
    x = 146,009.86

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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.