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Finding the Fourth Proportional to 323,871.86, 446,922.96 and 178,679.51

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Solution

The fourth proportional to 323,871.86, 446,922.96 and 178,679.51 is: 246,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,871.86 : 446,922.96 = 178,679.51 : x
  2. Step 2: Convert to fraction form
    323,871.86/446,922.96 = 178,679.51/x
  3. Step 3: Cross multiply
    323,871.86x = 446,922.96 × 178,679.51
  4. Step 4: Simplify right side
    323,871.86x = 79,855,975,500.55
  5. Step 5: Solve for x
    x = 79,855,975,500.55/323,871.86
  6. Step 6: Final answer
    x = 246,566.58

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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.