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Finding the Fourth Proportional to 382,062.80, 573,094.20 and 204,915.80

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Solution

The fourth proportional to 382,062.80, 573,094.20 and 204,915.80 is: 307,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,062.80 : 573,094.20 = 204,915.80 : x
  2. Step 2: Convert to fraction form
    382,062.80/573,094.20 = 204,915.80/x
  3. Step 3: Cross multiply
    382,062.80x = 573,094.20 × 204,915.80
  4. Step 4: Simplify right side
    382,062.80x = 117,436,056,468.36
  5. Step 5: Solve for x
    x = 117,436,056,468.36/382,062.80
  6. Step 6: Final answer
    x = 307,373.70

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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.