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Finding the Fourth Proportional to 255,327.92, 352,023.17 and 209,216.09

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Solution

The fourth proportional to 255,327.92, 352,023.17 and 209,216.09 is: 288,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,327.92 : 352,023.17 = 209,216.09 : x
  2. Step 2: Convert to fraction form
    255,327.92/352,023.17 = 209,216.09/x
  3. Step 3: Cross multiply
    255,327.92x = 352,023.17 × 209,216.09
  4. Step 4: Simplify right side
    255,327.92x = 73,648,910,060.72
  5. Step 5: Solve for x
    x = 73,648,910,060.72/255,327.92
  6. Step 6: Final answer
    x = 288,448.32

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