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Finding the Fourth Proportional to 341,716.20, 512,420.70 and 131,284.20

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Solution

The fourth proportional to 341,716.20, 512,420.70 and 131,284.20 is: 196,867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,716.20 : 512,420.70 = 131,284.20 : x
  2. Step 2: Convert to fraction form
    341,716.20/512,420.70 = 131,284.20/x
  3. Step 3: Cross multiply
    341,716.20x = 512,420.70 × 131,284.20
  4. Step 4: Simplify right side
    341,716.20x = 67,272,741,662.94
  5. Step 5: Solve for x
    x = 67,272,741,662.94/341,716.20
  6. Step 6: Final answer
    x = 196,867.29

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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.