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Finding the Fourth Proportional to 411,441.26, 567,786.31 and 230,152.32

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Solution

The fourth proportional to 411,441.26, 567,786.31 and 230,152.32 is: 317,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,441.26 : 567,786.31 = 230,152.32 : x
  2. Step 2: Convert to fraction form
    411,441.26/567,786.31 = 230,152.32/x
  3. Step 3: Cross multiply
    411,441.26x = 567,786.31 × 230,152.32
  4. Step 4: Simplify right side
    411,441.26x = 130,677,335,935.36
  5. Step 5: Solve for x
    x = 130,677,335,935.36/411,441.26
  6. Step 6: Final answer
    x = 317,608.73

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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.