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Finding the Fourth Proportional to 382,110.30, 573,165.45 and 204,963.30

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Solution

The fourth proportional to 382,110.30, 573,165.45 and 204,963.30 is: 307,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,110.30 : 573,165.45 = 204,963.30 : x
  2. Step 2: Convert to fraction form
    382,110.30/573,165.45 = 204,963.30/x
  3. Step 3: Cross multiply
    382,110.30x = 573,165.45 × 204,963.30
  4. Step 4: Simplify right side
    382,110.30x = 117,477,882,077.99
  5. Step 5: Solve for x
    x = 117,477,882,077.99/382,110.30
  6. Step 6: Final answer
    x = 307,444.95

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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.