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Finding the Fourth Proportional to 569,319.92, 853,322.40 and 214,107.20

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Solution

The fourth proportional to 569,319.92, 853,322.40 and 214,107.20 is: 320,913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,319.92 : 853,322.40 = 214,107.20 : x
  2. Step 2: Convert to fraction form
    569,319.92/853,322.40 = 214,107.20/x
  3. Step 3: Cross multiply
    569,319.92x = 853,322.40 × 214,107.20
  4. Step 4: Simplify right side
    569,319.92x = 182,702,469,761.28
  5. Step 5: Solve for x
    x = 182,702,469,761.28/569,319.92
  6. Step 6: Final answer
    x = 320,913.54

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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.