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Finding the Fourth Proportional to 569,147.25, 853,754.28 and 214,164.33

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Solution

The fourth proportional to 569,147.25, 853,754.28 and 214,164.33 is: 321,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,147.25 : 853,754.28 = 214,164.33 : x
  2. Step 2: Convert to fraction form
    569,147.25/853,754.28 = 214,164.33/x
  3. Step 3: Cross multiply
    569,147.25x = 853,754.28 × 214,164.33
  4. Step 4: Simplify right side
    569,147.25x = 182,843,713,360.83
  5. Step 5: Solve for x
    x = 182,843,713,360.83/569,147.25
  6. Step 6: Final answer
    x = 321,259.06

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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.