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Finding the Fourth Proportional to 323,843.42, 446,904.34 and 178,645.88

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Solution

The fourth proportional to 323,843.42, 446,904.34 and 178,645.88 is: 246,531.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,843.42 : 446,904.34 = 178,645.88 : x
  2. Step 2: Convert to fraction form
    323,843.42/446,904.34 = 178,645.88/x
  3. Step 3: Cross multiply
    323,843.42x = 446,904.34 × 178,645.88
  4. Step 4: Simplify right side
    323,843.42x = 79,837,619,095.12
  5. Step 5: Solve for x
    x = 79,837,619,095.12/323,843.42
  6. Step 6: Final answer
    x = 246,531.55

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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.