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Finding the Fourth Proportional to 382,201.80, 573,302.70 and 256,230.60

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Solution

The fourth proportional to 382,201.80, 573,302.70 and 256,230.60 is: 384,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,201.80 : 573,302.70 = 256,230.60 : x
  2. Step 2: Convert to fraction form
    382,201.80/573,302.70 = 256,230.60/x
  3. Step 3: Cross multiply
    382,201.80x = 573,302.70 × 256,230.60
  4. Step 4: Simplify right side
    382,201.80x = 146,897,694,802.62
  5. Step 5: Solve for x
    x = 146,897,694,802.62/382,201.80
  6. Step 6: Final answer
    x = 384,345.90

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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.