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Finding the Fourth Proportional to 406,902.40, 610,180.80 and 196,604.80

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Solution

The fourth proportional to 406,902.40, 610,180.80 and 196,604.80 is: 294,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,902.40 : 610,180.80 = 196,604.80 : x
  2. Step 2: Convert to fraction form
    406,902.40/610,180.80 = 196,604.80/x
  3. Step 3: Cross multiply
    406,902.40x = 610,180.80 × 196,604.80
  4. Step 4: Simplify right side
    406,902.40x = 119,964,474,147.84
  5. Step 5: Solve for x
    x = 119,964,474,147.84/406,902.40
  6. Step 6: Final answer
    x = 294,823.71

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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.