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Finding the Fourth Proportional to 323,297.42, 446,164.20 and 180,057.44

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Solution

The fourth proportional to 323,297.42, 446,164.20 and 180,057.44 is: 248,486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,297.42 : 446,164.20 = 180,057.44 : x
  2. Step 2: Convert to fraction form
    323,297.42/446,164.20 = 180,057.44/x
  3. Step 3: Cross multiply
    323,297.42x = 446,164.20 × 180,057.44
  4. Step 4: Simplify right side
    323,297.42x = 80,335,184,787.06
  5. Step 5: Solve for x
    x = 80,335,184,787.06/323,297.42
  6. Step 6: Final answer
    x = 248,486.94

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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.