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Finding the Fourth Proportional to 269,752.20, 404,174.70 and 213,376.20

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Solution

The fourth proportional to 269,752.20, 404,174.70 and 213,376.20 is: 319,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,752.20 : 404,174.70 = 213,376.20 : x
  2. Step 2: Convert to fraction form
    269,752.20/404,174.70 = 213,376.20/x
  3. Step 3: Cross multiply
    269,752.20x = 404,174.70 × 213,376.20
  4. Step 4: Simplify right side
    269,752.20x = 86,241,261,622.14
  5. Step 5: Solve for x
    x = 86,241,261,622.14/269,752.20
  6. Step 6: Final answer
    x = 319,705.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.