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Finding the Fourth Proportional to 297,972.64, 411,202.24 and 163,836.64

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Solution

The fourth proportional to 297,972.64, 411,202.24 and 163,836.64 is: 226,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,972.64 : 411,202.24 = 163,836.64 : x
  2. Step 2: Convert to fraction form
    297,972.64/411,202.24 = 163,836.64/x
  3. Step 3: Cross multiply
    297,972.64x = 411,202.24 × 163,836.64
  4. Step 4: Simplify right side
    297,972.64x = 67,369,993,362.07
  5. Step 5: Solve for x
    x = 67,369,993,362.07/297,972.64
  6. Step 6: Final answer
    x = 226,094.56

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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.