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Finding the Fourth Proportional to 411,883.20, 617,824.80 and 131,428.80

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Solution

The fourth proportional to 411,883.20, 617,824.80 and 131,428.80 is: 197,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,883.20 : 617,824.80 = 131,428.80 : x
  2. Step 2: Convert to fraction form
    411,883.20/617,824.80 = 131,428.80/x
  3. Step 3: Cross multiply
    411,883.20x = 617,824.80 × 131,428.80
  4. Step 4: Simplify right side
    411,883.20x = 81,199,972,074.24
  5. Step 5: Solve for x
    x = 81,199,972,074.24/411,883.20
  6. Step 6: Final answer
    x = 197,143.20

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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.