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Finding the Fourth Proportional to 397,375.80, 596,719.80 and 264,843.60

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Solution

The fourth proportional to 397,375.80, 596,719.80 and 264,843.60 is: 397,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,375.80 : 596,719.80 = 264,843.60 : x
  2. Step 2: Convert to fraction form
    397,375.80/596,719.80 = 264,843.60/x
  3. Step 3: Cross multiply
    397,375.80x = 596,719.80 × 264,843.60
  4. Step 4: Simplify right side
    397,375.80x = 158,037,420,023.28
  5. Step 5: Solve for x
    x = 158,037,420,023.28/397,375.80
  6. Step 6: Final answer
    x = 397,702.68

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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.