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Finding the Fourth Proportional to 264,811.75, 397,396.23 and 98,599.75

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Solution

The fourth proportional to 264,811.75, 397,396.23 and 98,599.75 is: 147,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,811.75 : 397,396.23 = 98,599.75 : x
  2. Step 2: Convert to fraction form
    264,811.75/397,396.23 = 98,599.75/x
  3. Step 3: Cross multiply
    264,811.75x = 397,396.23 × 98,599.75
  4. Step 4: Simplify right side
    264,811.75x = 39,183,168,928.94
  5. Step 5: Solve for x
    x = 39,183,168,928.94/264,811.75
  6. Step 6: Final answer
    x = 147,966.13

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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.