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Finding the Fourth Proportional to 529,795.80, 795,022.56 and 214,255.44

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Solution

The fourth proportional to 529,795.80, 795,022.56 and 214,255.44 is: 321,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,795.80 : 795,022.56 = 214,255.44 : x
  2. Step 2: Convert to fraction form
    529,795.80/795,022.56 = 214,255.44/x
  3. Step 3: Cross multiply
    529,795.80x = 795,022.56 × 214,255.44
  4. Step 4: Simplify right side
    529,795.80x = 170,337,908,402.73
  5. Step 5: Solve for x
    x = 170,337,908,402.73/529,795.80
  6. Step 6: Final answer
    x = 321,516.15

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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.