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Finding the Fourth Proportional to 382,061.80, 573,092.70 and 204,914.80

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Solution

The fourth proportional to 382,061.80, 573,092.70 and 204,914.80 is: 307,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,061.80 : 573,092.70 = 204,914.80 : x
  2. Step 2: Convert to fraction form
    382,061.80/573,092.70 = 204,914.80/x
  3. Step 3: Cross multiply
    382,061.80x = 573,092.70 × 204,914.80
  4. Step 4: Simplify right side
    382,061.80x = 117,435,176,001.96
  5. Step 5: Solve for x
    x = 117,435,176,001.96/382,061.80
  6. Step 6: Final answer
    x = 307,372.20

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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.