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Finding the Fourth Proportional to 406,898.40, 610,174.80 and 196,600.80

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Solution

The fourth proportional to 406,898.40, 610,174.80 and 196,600.80 is: 294,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,898.40 : 610,174.80 = 196,600.80 : x
  2. Step 2: Convert to fraction form
    406,898.40/610,174.80 = 196,600.80/x
  3. Step 3: Cross multiply
    406,898.40x = 610,174.80 × 196,600.80
  4. Step 4: Simplify right side
    406,898.40x = 119,960,853,819.84
  5. Step 5: Solve for x
    x = 119,960,853,819.84/406,898.40
  6. Step 6: Final answer
    x = 294,817.71

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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.