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Finding the Fourth Proportional to 361,348.53, 498,654.50 and 200,200.34

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Solution

The fourth proportional to 361,348.53, 498,654.50 and 200,200.34 is: 276,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,348.53 : 498,654.50 = 200,200.34 : x
  2. Step 2: Convert to fraction form
    361,348.53/498,654.50 = 200,200.34/x
  3. Step 3: Cross multiply
    361,348.53x = 498,654.50 × 200,200.34
  4. Step 4: Simplify right side
    361,348.53x = 99,830,800,442.53
  5. Step 5: Solve for x
    x = 99,830,800,442.53/361,348.53
  6. Step 6: Final answer
    x = 276,272.88

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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.