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Finding the Fourth Proportional to 493,605.78, 681,221.64 and 299,968.80

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Solution

The fourth proportional to 493,605.78, 681,221.64 and 299,968.80 is: 413,984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,605.78 : 681,221.64 = 299,968.80 : x
  2. Step 2: Convert to fraction form
    493,605.78/681,221.64 = 299,968.80/x
  3. Step 3: Cross multiply
    493,605.78x = 681,221.64 × 299,968.80
  4. Step 4: Simplify right side
    493,605.78x = 204,345,236,384.99
  5. Step 5: Solve for x
    x = 204,345,236,384.99/493,605.78
  6. Step 6: Final answer
    x = 413,984.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.