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Finding the Fourth Proportional to 255,342.30, 352,523.26 and 226,965.96

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Solution

The fourth proportional to 255,342.30, 352,523.26 and 226,965.96 is: 313,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,342.30 : 352,523.26 = 226,965.96 : x
  2. Step 2: Convert to fraction form
    255,342.30/352,523.26 = 226,965.96/x
  3. Step 3: Cross multiply
    255,342.30x = 352,523.26 × 226,965.96
  4. Step 4: Simplify right side
    255,342.30x = 80,010,780,128.23
  5. Step 5: Solve for x
    x = 80,010,780,128.23/255,342.30
  6. Step 6: Final answer
    x = 313,347.14

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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.