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Finding the Fourth Proportional to 494,353.20, 741,702.60 and 214,071.60

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Solution

The fourth proportional to 494,353.20, 741,702.60 and 214,071.60 is: 321,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,353.20 : 741,702.60 = 214,071.60 : x
  2. Step 2: Convert to fraction form
    494,353.20/741,702.60 = 214,071.60/x
  3. Step 3: Cross multiply
    494,353.20x = 741,702.60 × 214,071.60
  4. Step 4: Simplify right side
    494,353.20x = 158,777,462,306.16
  5. Step 5: Solve for x
    x = 158,777,462,306.16/494,353.20
  6. Step 6: Final answer
    x = 321,182.23

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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.