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Finding the Fourth Proportional to 569,298.30, 853,290.09 and 214,085.76

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Solution

The fourth proportional to 569,298.30, 853,290.09 and 214,085.76 is: 320,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,298.30 : 853,290.09 = 214,085.76 : x
  2. Step 2: Convert to fraction form
    569,298.30/853,290.09 = 214,085.76/x
  3. Step 3: Cross multiply
    569,298.30x = 853,290.09 × 214,085.76
  4. Step 4: Simplify right side
    569,298.30x = 182,677,257,418.12
  5. Step 5: Solve for x
    x = 182,677,257,418.12/569,298.30
  6. Step 6: Final answer
    x = 320,881.44

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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.