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Finding the Fourth Proportional to 340,127.20, 510,190.80 and 204,824.80

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Solution

The fourth proportional to 340,127.20, 510,190.80 and 204,824.80 is: 307,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,127.20 : 510,190.80 = 204,824.80 : x
  2. Step 2: Convert to fraction form
    340,127.20/510,190.80 = 204,824.80/x
  3. Step 3: Cross multiply
    340,127.20x = 510,190.80 × 204,824.80
  4. Step 4: Simplify right side
    340,127.20x = 104,499,728,571.84
  5. Step 5: Solve for x
    x = 104,499,728,571.84/340,127.20
  6. Step 6: Final answer
    x = 307,237.20

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1.5x scale

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.