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Finding the Fourth Proportional to 529,819.70, 794,115.15 and 214,069.30

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Solution

The fourth proportional to 529,819.70, 794,115.15 and 214,069.30 is: 320,855.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,819.70 : 794,115.15 = 214,069.30 : x
  2. Step 2: Convert to fraction form
    529,819.70/794,115.15 = 214,069.30/x
  3. Step 3: Cross multiply
    529,819.70x = 794,115.15 × 214,069.30
  4. Step 4: Simplify right side
    529,819.70x = 169,995,674,279.90
  5. Step 5: Solve for x
    x = 169,995,674,279.90/529,819.70
  6. Step 6: Final answer
    x = 320,855.71

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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.