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Finding the Fourth Proportional to 406,786.80, 610,277.40 and 196,251.60

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Solution

The fourth proportional to 406,786.80, 610,277.40 and 196,251.60 is: 294,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,786.80 : 610,277.40 = 196,251.60 : x
  2. Step 2: Convert to fraction form
    406,786.80/610,277.40 = 196,251.60/x
  3. Step 3: Cross multiply
    406,786.80x = 610,277.40 × 196,251.60
  4. Step 4: Simplify right side
    406,786.80x = 119,767,916,193.84
  5. Step 5: Solve for x
    x = 119,767,916,193.84/406,786.80
  6. Step 6: Final answer
    x = 294,424.29

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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.