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Finding the Fourth Proportional to 382,093.80, 573,140.70 and 204,946.80

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Solution

The fourth proportional to 382,093.80, 573,140.70 and 204,946.80 is: 307,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,093.80 : 573,140.70 = 204,946.80 : x
  2. Step 2: Convert to fraction form
    382,093.80/573,140.70 = 204,946.80/x
  3. Step 3: Cross multiply
    382,093.80x = 573,140.70 × 204,946.80
  4. Step 4: Simplify right side
    382,093.80x = 117,463,352,414.76
  5. Step 5: Solve for x
    x = 117,463,352,414.76/382,093.80
  6. Step 6: Final answer
    x = 307,420.20

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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.