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Finding the Fourth Proportional to 382,025.60, 573,153.60 and 204,617.60

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Solution

The fourth proportional to 382,025.60, 573,153.60 and 204,617.60 is: 306,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,025.60 : 573,153.60 = 204,617.60 : x
  2. Step 2: Convert to fraction form
    382,025.60/573,153.60 = 204,617.60/x
  3. Step 3: Cross multiply
    382,025.60x = 573,153.60 × 204,617.60
  4. Step 4: Simplify right side
    382,025.60x = 117,277,314,063.36
  5. Step 5: Solve for x
    x = 117,277,314,063.36/382,025.60
  6. Step 6: Final answer
    x = 306,988.10

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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.