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Finding the Fourth Proportional to 323,418.80, 446,331.72 and 180,178.76

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Solution

The fourth proportional to 323,418.80, 446,331.72 and 180,178.76 is: 248,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,418.80 : 446,331.72 = 180,178.76 : x
  2. Step 2: Convert to fraction form
    323,418.80/446,331.72 = 180,178.76/x
  3. Step 3: Cross multiply
    323,418.80x = 446,331.72 × 180,178.76
  4. Step 4: Simplify right side
    323,418.80x = 80,419,495,858.27
  5. Step 5: Solve for x
    x = 80,419,495,858.27/323,418.80
  6. Step 6: Final answer
    x = 248,654.36

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1.5x scale

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.