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Finding the Fourth Proportional to 323,674.42, 446,670.78 and 180,431.38

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Solution

The fourth proportional to 323,674.42, 446,670.78 and 180,431.38 is: 248,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,674.42 : 446,670.78 = 180,431.38 : x
  2. Step 2: Convert to fraction form
    323,674.42/446,670.78 = 180,431.38/x
  3. Step 3: Cross multiply
    323,674.42x = 446,670.78 × 180,431.38
  4. Step 4: Simplify right side
    323,674.42x = 80,593,425,241.08
  5. Step 5: Solve for x
    x = 80,593,425,241.08/323,674.42
  6. Step 6: Final answer
    x = 248,995.35

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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.