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Finding the Fourth Proportional to 569,287.25, 853,640.64 and 190,071.78

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Solution

The fourth proportional to 569,287.25, 853,640.64 and 190,071.78 is: 285,010.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,287.25 : 853,640.64 = 190,071.78 : x
  2. Step 2: Convert to fraction form
    569,287.25/853,640.64 = 190,071.78/x
  3. Step 3: Cross multiply
    569,287.25x = 853,640.64 × 190,071.78
  4. Step 4: Simplify right side
    569,287.25x = 162,252,992,723.99
  5. Step 5: Solve for x
    x = 162,252,992,723.99/569,287.25
  6. Step 6: Final answer
    x = 285,010.76

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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.