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Finding the Fourth Proportional to 411,010.29, 567,191.84 and 229,721.90

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Solution

The fourth proportional to 411,010.29, 567,191.84 and 229,721.90 is: 317,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,010.29 : 567,191.84 = 229,721.90 : x
  2. Step 2: Convert to fraction form
    411,010.29/567,191.84 = 229,721.90/x
  3. Step 3: Cross multiply
    411,010.29x = 567,191.84 × 229,721.90
  4. Step 4: Simplify right side
    411,010.29x = 130,296,383,164.73
  5. Step 5: Solve for x
    x = 130,296,383,164.73/411,010.29
  6. Step 6: Final answer
    x = 317,014.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.