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Finding the Fourth Proportional to 323,446.88, 446,359.75 and 178,257.98

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Solution

The fourth proportional to 323,446.88, 446,359.75 and 178,257.98 is: 245,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,446.88 : 446,359.75 = 178,257.98 : x
  2. Step 2: Convert to fraction form
    323,446.88/446,359.75 = 178,257.98/x
  3. Step 3: Cross multiply
    323,446.88x = 446,359.75 × 178,257.98
  4. Step 4: Simplify right side
    323,446.88x = 79,567,184,710.86
  5. Step 5: Solve for x
    x = 79,567,184,710.86/323,446.88
  6. Step 6: Final answer
    x = 245,997.69

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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.