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Finding the Fourth Proportional to 264,821.75, 397,411.23 and 98,609.75

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Solution

The fourth proportional to 264,821.75, 397,411.23 and 98,609.75 is: 147,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,821.75 : 397,411.23 = 98,609.75 : x
  2. Step 2: Convert to fraction form
    264,821.75/397,411.23 = 98,609.75/x
  3. Step 3: Cross multiply
    264,821.75x = 397,411.23 × 98,609.75
  4. Step 4: Simplify right side
    264,821.75x = 39,188,622,037.49
  5. Step 5: Solve for x
    x = 39,188,622,037.49/264,821.75
  6. Step 6: Final answer
    x = 147,981.13

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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.