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Finding the Fourth Proportional to 294,538.20, 441,807.30 and 271,728.60

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Solution

The fourth proportional to 294,538.20, 441,807.30 and 271,728.60 is: 407,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,538.20 : 441,807.30 = 271,728.60 : x
  2. Step 2: Convert to fraction form
    294,538.20/441,807.30 = 271,728.60/x
  3. Step 3: Cross multiply
    294,538.20x = 441,807.30 × 271,728.60
  4. Step 4: Simplify right side
    294,538.20x = 120,051,679,098.78
  5. Step 5: Solve for x
    x = 120,051,679,098.78/294,538.20
  6. Step 6: Final answer
    x = 407,592.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.