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Finding the Fourth Proportional to 569,022.56, 853,660.84 and 214,039.52

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Solution

The fourth proportional to 569,022.56, 853,660.84 and 214,039.52 is: 321,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,022.56 : 853,660.84 = 214,039.52 : x
  2. Step 2: Convert to fraction form
    569,022.56/853,660.84 = 214,039.52/x
  3. Step 3: Cross multiply
    569,022.56x = 853,660.84 × 214,039.52
  4. Step 4: Simplify right side
    569,022.56x = 182,717,156,436.40
  5. Step 5: Solve for x
    x = 182,717,156,436.40/569,022.56
  6. Step 6: Final answer
    x = 321,107.05

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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.