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Finding the Fourth Proportional to 531,879.40, 797,819.10 and 412,906.60

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Solution

The fourth proportional to 531,879.40, 797,819.10 and 412,906.60 is: 619,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,879.40 : 797,819.10 = 412,906.60 : x
  2. Step 2: Convert to fraction form
    531,879.40/797,819.10 = 412,906.60/x
  3. Step 3: Cross multiply
    531,879.40x = 797,819.10 × 412,906.60
  4. Step 4: Simplify right side
    531,879.40x = 329,424,771,996.06
  5. Step 5: Solve for x
    x = 329,424,771,996.06/531,879.40
  6. Step 6: Final answer
    x = 619,359.90

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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.