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Finding the Fourth Proportional to 382,106.55, 573,159.83 and 204,959.55

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Solution

The fourth proportional to 382,106.55, 573,159.83 and 204,959.55 is: 307,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,106.55 : 573,159.83 = 204,959.55 : x
  2. Step 2: Convert to fraction form
    382,106.55/573,159.83 = 204,959.55/x
  3. Step 3: Cross multiply
    382,106.55x = 573,159.83 × 204,959.55
  4. Step 4: Simplify right side
    382,106.55x = 117,474,579,810.08
  5. Step 5: Solve for x
    x = 117,474,579,810.08/382,106.55
  6. Step 6: Final answer
    x = 307,439.33

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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.