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Finding the Fourth Proportional to 420,906.20, 631,359.30 and 420,906.20

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Solution

The fourth proportional to 420,906.20, 631,359.30 and 420,906.20 is: 631,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,906.20 : 631,359.30 = 420,906.20 : x
  2. Step 2: Convert to fraction form
    420,906.20/631,359.30 = 420,906.20/x
  3. Step 3: Cross multiply
    420,906.20x = 631,359.30 × 420,906.20
  4. Step 4: Simplify right side
    420,906.20x = 265,743,043,797.66
  5. Step 5: Solve for x
    x = 265,743,043,797.66/420,906.20
  6. Step 6: Final answer
    x = 631,359.30

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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.