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Finding the Fourth Proportional to 306,496.75, 459,745.14 and 84,880.75

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Solution

The fourth proportional to 306,496.75, 459,745.14 and 84,880.75 is: 127,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,496.75 : 459,745.14 = 84,880.75 : x
  2. Step 2: Convert to fraction form
    306,496.75/459,745.14 = 84,880.75/x
  3. Step 3: Cross multiply
    306,496.75x = 459,745.14 × 84,880.75
  4. Step 4: Simplify right side
    306,496.75x = 39,023,512,292.06
  5. Step 5: Solve for x
    x = 39,023,512,292.06/306,496.75
  6. Step 6: Final answer
    x = 127,321.13

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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.