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Finding the Fourth Proportional to 569,150.61, 853,759.34 and 214,167.71

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Solution

The fourth proportional to 569,150.61, 853,759.34 and 214,167.71 is: 321,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,150.61 : 853,759.34 = 214,167.71 : x
  2. Step 2: Convert to fraction form
    569,150.61/853,759.34 = 214,167.71/x
  3. Step 3: Cross multiply
    569,150.61x = 853,759.34 × 214,167.71
  4. Step 4: Simplify right side
    569,150.61x = 182,847,677,399.28
  5. Step 5: Solve for x
    x = 182,847,677,399.28/569,150.61
  6. Step 6: Final answer
    x = 321,264.13

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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.