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Finding the Fourth Proportional to 285,773.00, 428,671.34 and 117,174.43

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Solution

The fourth proportional to 285,773.00, 428,671.34 and 117,174.43 is: 175,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,773.00 : 428,671.34 = 117,174.43 : x
  2. Step 2: Convert to fraction form
    285,773.00/428,671.34 = 117,174.43/x
  3. Step 3: Cross multiply
    285,773.00x = 428,671.34 × 117,174.43
  4. Step 4: Simplify right side
    285,773.00x = 50,229,320,311.21
  5. Step 5: Solve for x
    x = 50,229,320,311.21/285,773.00
  6. Step 6: Final answer
    x = 175,766.50

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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.