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Finding the Fourth Proportional to 406,532.96, 560,996.58 and 222,770.44

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Solution

The fourth proportional to 406,532.96, 560,996.58 and 222,770.44 is: 307,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,532.96 : 560,996.58 = 222,770.44 : x
  2. Step 2: Convert to fraction form
    406,532.96/560,996.58 = 222,770.44/x
  3. Step 3: Cross multiply
    406,532.96x = 560,996.58 × 222,770.44
  4. Step 4: Simplify right side
    406,532.96x = 124,973,453,346.12
  5. Step 5: Solve for x
    x = 124,973,453,346.12/406,532.96
  6. Step 6: Final answer
    x = 307,412.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.