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Finding the Fourth Proportional to 406,828.20, 610,415.10 and 196,357.80

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Solution

The fourth proportional to 406,828.20, 610,415.10 and 196,357.80 is: 294,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,828.20 : 610,415.10 = 196,357.80 : x
  2. Step 2: Convert to fraction form
    406,828.20/610,415.10 = 196,357.80/x
  3. Step 3: Cross multiply
    406,828.20x = 610,415.10 × 196,357.80
  4. Step 4: Simplify right side
    406,828.20x = 119,859,766,122.78
  5. Step 5: Solve for x
    x = 119,859,766,122.78/406,828.20
  6. Step 6: Final answer
    x = 294,620.10

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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.