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Finding the Fourth Proportional to 397,672.20, 596,702.70 and 187,273.80

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Solution

The fourth proportional to 397,672.20, 596,702.70 and 187,273.80 is: 281,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,672.20 : 596,702.70 = 187,273.80 : x
  2. Step 2: Convert to fraction form
    397,672.20/596,702.70 = 187,273.80/x
  3. Step 3: Cross multiply
    397,672.20x = 596,702.70 × 187,273.80
  4. Step 4: Simplify right side
    397,672.20x = 111,746,782,099.26
  5. Step 5: Solve for x
    x = 111,746,782,099.26/397,672.20
  6. Step 6: Final answer
    x = 281,002.25

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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.