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Finding the Fourth Proportional to 462,571.68, 693,959.60 and 196,559.60

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Solution

The fourth proportional to 462,571.68, 693,959.60 and 196,559.60 is: 294,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,571.68 : 693,959.60 = 196,559.60 : x
  2. Step 2: Convert to fraction form
    462,571.68/693,959.60 = 196,559.60/x
  3. Step 3: Cross multiply
    462,571.68x = 693,959.60 × 196,559.60
  4. Step 4: Simplify right side
    462,571.68x = 136,404,421,392.16
  5. Step 5: Solve for x
    x = 136,404,421,392.16/462,571.68
  6. Step 6: Final answer
    x = 294,882.78

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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.