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Finding the Fourth Proportional to 407,230.40, 610,672.80 and 196,932.80

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Solution

The fourth proportional to 407,230.40, 610,672.80 and 196,932.80 is: 295,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,230.40 : 610,672.80 = 196,932.80 : x
  2. Step 2: Convert to fraction form
    407,230.40/610,672.80 = 196,932.80/x
  3. Step 3: Cross multiply
    407,230.40x = 610,672.80 × 196,932.80
  4. Step 4: Simplify right side
    407,230.40x = 120,261,504,387.84
  5. Step 5: Solve for x
    x = 120,261,504,387.84/407,230.40
  6. Step 6: Final answer
    x = 295,315.64

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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.