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Finding the Fourth Proportional to 411,415.73, 567,806.24 and 230,137.73

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Solution

The fourth proportional to 411,415.73, 567,806.24 and 230,137.73 is: 317,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,415.73 : 567,806.24 = 230,137.73 : x
  2. Step 2: Convert to fraction form
    411,415.73/567,806.24 = 230,137.73/x
  3. Step 3: Cross multiply
    411,415.73x = 567,806.24 × 230,137.73
  4. Step 4: Simplify right side
    411,415.73x = 130,673,639,153.44
  5. Step 5: Solve for x
    x = 130,673,639,153.44/411,415.73
  6. Step 6: Final answer
    x = 317,619.45

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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.