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Finding the Fourth Proportional to 382,060.30, 573,090.45 and 204,913.30

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Solution

The fourth proportional to 382,060.30, 573,090.45 and 204,913.30 is: 307,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,060.30 : 573,090.45 = 204,913.30 : x
  2. Step 2: Convert to fraction form
    382,060.30/573,090.45 = 204,913.30/x
  3. Step 3: Cross multiply
    382,060.30x = 573,090.45 × 204,913.30
  4. Step 4: Simplify right side
    382,060.30x = 117,433,855,307.99
  5. Step 5: Solve for x
    x = 117,433,855,307.99/382,060.30
  6. Step 6: Final answer
    x = 307,369.95

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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.