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Finding the Fourth Proportional to 446,143.16, 615,791.22 and 255,216.44

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Solution

The fourth proportional to 446,143.16, 615,791.22 and 255,216.44 is: 352,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,143.16 : 615,791.22 = 255,216.44 : x
  2. Step 2: Convert to fraction form
    446,143.16/615,791.22 = 255,216.44/x
  3. Step 3: Cross multiply
    446,143.16x = 615,791.22 × 255,216.44
  4. Step 4: Simplify right side
    446,143.16x = 157,160,042,951.66
  5. Step 5: Solve for x
    x = 157,160,042,951.66/446,143.16
  6. Step 6: Final answer
    x = 352,263.71

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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.