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Finding the Fourth Proportional to 382,055.80, 573,083.70 and 204,908.80

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Solution

The fourth proportional to 382,055.80, 573,083.70 and 204,908.80 is: 307,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,055.80 : 573,083.70 = 204,908.80 : x
  2. Step 2: Convert to fraction form
    382,055.80/573,083.70 = 204,908.80/x
  3. Step 3: Cross multiply
    382,055.80x = 573,083.70 × 204,908.80
  4. Step 4: Simplify right side
    382,055.80x = 117,429,893,266.56
  5. Step 5: Solve for x
    x = 117,429,893,266.56/382,055.80
  6. Step 6: Final answer
    x = 307,363.20

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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.