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Finding the Fourth Proportional to 406,902.90, 610,181.55 and 196,605.30

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Solution

The fourth proportional to 406,902.90, 610,181.55 and 196,605.30 is: 294,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,902.90 : 610,181.55 = 196,605.30 : x
  2. Step 2: Convert to fraction form
    406,902.90/610,181.55 = 196,605.30/x
  3. Step 3: Cross multiply
    406,902.90x = 610,181.55 × 196,605.30
  4. Step 4: Simplify right side
    406,902.90x = 119,964,926,692.22
  5. Step 5: Solve for x
    x = 119,964,926,692.22/406,902.90
  6. Step 6: Final answer
    x = 294,824.46

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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.