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Finding the Fourth Proportional to 382,226.60, 573,455.10 and 204,818.60

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Solution

The fourth proportional to 382,226.60, 573,455.10 and 204,818.60 is: 307,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,226.60 : 573,455.10 = 204,818.60 : x
  2. Step 2: Convert to fraction form
    382,226.60/573,455.10 = 204,818.60/x
  3. Step 3: Cross multiply
    382,226.60x = 573,455.10 × 204,818.60
  4. Step 4: Simplify right side
    382,226.60x = 117,454,270,744.86
  5. Step 5: Solve for x
    x = 117,454,270,744.86/382,226.60
  6. Step 6: Final answer
    x = 307,289.63

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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.