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Finding the Fourth Proportional to 382,054.80, 573,082.20 and 204,907.80

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Solution

The fourth proportional to 382,054.80, 573,082.20 and 204,907.80 is: 307,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,054.80 : 573,082.20 = 204,907.80 : x
  2. Step 2: Convert to fraction form
    382,054.80/573,082.20 = 204,907.80/x
  3. Step 3: Cross multiply
    382,054.80x = 573,082.20 × 204,907.80
  4. Step 4: Simplify right side
    382,054.80x = 117,429,012,821.16
  5. Step 5: Solve for x
    x = 117,429,012,821.16/382,054.80
  6. Step 6: Final answer
    x = 307,361.70

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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.