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Finding the Fourth Proportional to 269,483.51, 403,781.92 and 213,682.07

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Solution

The fourth proportional to 269,483.51, 403,781.92 and 213,682.07 is: 320,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,483.51 : 403,781.92 = 213,682.07 : x
  2. Step 2: Convert to fraction form
    269,483.51/403,781.92 = 213,682.07/x
  3. Step 3: Cross multiply
    269,483.51x = 403,781.92 × 213,682.07
  4. Step 4: Simplify right side
    269,483.51x = 86,280,953,941.06
  5. Step 5: Solve for x
    x = 86,280,953,941.06/269,483.51
  6. Step 6: Final answer
    x = 320,171.56

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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.