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Finding the Fourth Proportional to 411,190.32, 567,270.69 and 320,388.62

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Solution

The fourth proportional to 411,190.32, 567,270.69 and 320,388.62 is: 442,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,190.32 : 567,270.69 = 320,388.62 : x
  2. Step 2: Convert to fraction form
    411,190.32/567,270.69 = 320,388.62/x
  3. Step 3: Cross multiply
    411,190.32x = 567,270.69 × 320,388.62
  4. Step 4: Simplify right side
    411,190.32x = 181,747,071,299.92
  5. Step 5: Solve for x
    x = 181,747,071,299.92/411,190.32
  6. Step 6: Final answer
    x = 442,002.31

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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.