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Finding the Fourth Proportional to 269,484.26, 403,783.04 and 213,682.82

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Solution

The fourth proportional to 269,484.26, 403,783.04 and 213,682.82 is: 320,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,484.26 : 403,783.04 = 213,682.82 : x
  2. Step 2: Convert to fraction form
    269,484.26/403,783.04 = 213,682.82/x
  3. Step 3: Cross multiply
    269,484.26x = 403,783.04 × 213,682.82
  4. Step 4: Simplify right side
    269,484.26x = 86,281,497,170.66
  5. Step 5: Solve for x
    x = 86,281,497,170.66/269,484.26
  6. Step 6: Final answer
    x = 320,172.68

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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.