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Finding the Fourth Proportional to 569,296.80, 853,287.84 and 214,084.26

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Solution

The fourth proportional to 569,296.80, 853,287.84 and 214,084.26 is: 320,879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,296.80 : 853,287.84 = 214,084.26 : x
  2. Step 2: Convert to fraction form
    569,296.80/853,287.84 = 214,084.26/x
  3. Step 3: Cross multiply
    569,296.80x = 853,287.84 × 214,084.26
  4. Step 4: Simplify right side
    569,296.80x = 182,675,495,793.40
  5. Step 5: Solve for x
    x = 182,675,495,793.40/569,296.80
  6. Step 6: Final answer
    x = 320,879.19

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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.