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Finding the Fourth Proportional to 411,520.25, 567,920 and 230,221.36

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Solution

The fourth proportional to 411,520.25, 567,920 and 230,221.36 is: 317,717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,520.25 : 567,920 = 230,221.36 : x
  2. Step 2: Convert to fraction form
    411,520.25/567,920 = 230,221.36/x
  3. Step 3: Cross multiply
    411,520.25x = 567,920 × 230,221.36
  4. Step 4: Simplify right side
    411,520.25x = 130,747,314,771.20
  5. Step 5: Solve for x
    x = 130,747,314,771.20/411,520.25
  6. Step 6: Final answer
    x = 317,717.82

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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.