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Finding the Fourth Proportional to 529,814.20, 794,106.90 and 214,063.80

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Solution

The fourth proportional to 529,814.20, 794,106.90 and 214,063.80 is: 320,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,814.20 : 794,106.90 = 214,063.80 : x
  2. Step 2: Convert to fraction form
    529,814.20/794,106.90 = 214,063.80/x
  3. Step 3: Cross multiply
    529,814.20x = 794,106.90 × 214,063.80
  4. Step 4: Simplify right side
    529,814.20x = 169,989,540,620.22
  5. Step 5: Solve for x
    x = 169,989,540,620.22/529,814.20
  6. Step 6: Final answer
    x = 320,847.46

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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.