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Finding the Fourth Proportional to 323,202.40, 446,037.68 and 194,180.32

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Solution

The fourth proportional to 323,202.40, 446,037.68 and 194,180.32 is: 267,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,202.40 : 446,037.68 = 194,180.32 : x
  2. Step 2: Convert to fraction form
    323,202.40/446,037.68 = 194,180.32/x
  3. Step 3: Cross multiply
    323,202.40x = 446,037.68 × 194,180.32
  4. Step 4: Simplify right side
    323,202.40x = 86,611,739,434.46
  5. Step 5: Solve for x
    x = 86,611,739,434.46/323,202.40
  6. Step 6: Final answer
    x = 267,979.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.