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Finding the Fourth Proportional to 361,445.34, 541,431.72 and 171,329.46

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Solution

The fourth proportional to 361,445.34, 541,431.72 and 171,329.46 is: 256,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,445.34 : 541,431.72 = 171,329.46 : x
  2. Step 2: Convert to fraction form
    361,445.34/541,431.72 = 171,329.46/x
  3. Step 3: Cross multiply
    361,445.34x = 541,431.72 × 171,329.46
  4. Step 4: Simplify right side
    361,445.34x = 92,763,204,214.47
  5. Step 5: Solve for x
    x = 92,763,204,214.47/361,445.34
  6. Step 6: Final answer
    x = 256,645.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.