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Finding the Fourth Proportional to 382,197.80, 573,296.70 and 256,226.60

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Solution

The fourth proportional to 382,197.80, 573,296.70 and 256,226.60 is: 384,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,197.80 : 573,296.70 = 256,226.60 : x
  2. Step 2: Convert to fraction form
    382,197.80/573,296.70 = 256,226.60/x
  3. Step 3: Cross multiply
    382,197.80x = 573,296.70 × 256,226.60
  4. Step 4: Simplify right side
    382,197.80x = 146,893,864,232.22
  5. Step 5: Solve for x
    x = 146,893,864,232.22/382,197.80
  6. Step 6: Final answer
    x = 384,339.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.