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Finding the Fourth Proportional to 323,203.86, 446,017.16 and 178,006.88

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Solution

The fourth proportional to 323,203.86, 446,017.16 and 178,006.88 is: 245,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,203.86 : 446,017.16 = 178,006.88 : x
  2. Step 2: Convert to fraction form
    323,203.86/446,017.16 = 178,006.88/x
  3. Step 3: Cross multiply
    323,203.86x = 446,017.16 × 178,006.88
  4. Step 4: Simplify right side
    323,203.86x = 79,394,122,255.84
  5. Step 5: Solve for x
    x = 79,394,122,255.84/323,203.86
  6. Step 6: Final answer
    x = 245,647.20

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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.