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Finding the Fourth Proportional to 411,512.32, 567,909.06 and 230,213.44

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Solution

The fourth proportional to 411,512.32, 567,909.06 and 230,213.44 is: 317,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,512.32 : 567,909.06 = 230,213.44 : x
  2. Step 2: Convert to fraction form
    411,512.32/567,909.06 = 230,213.44/x
  3. Step 3: Cross multiply
    411,512.32x = 567,909.06 × 230,213.44
  4. Step 4: Simplify right side
    411,512.32x = 130,740,295,470.22
  5. Step 5: Solve for x
    x = 130,740,295,470.22/411,512.32
  6. Step 6: Final answer
    x = 317,706.88

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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.