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Finding the Fourth Proportional to 382,841.40, 574,002.90 and 202,956.60

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Solution

The fourth proportional to 382,841.40, 574,002.90 and 202,956.60 is: 304,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,841.40 : 574,002.90 = 202,956.60 : x
  2. Step 2: Convert to fraction form
    382,841.40/574,002.90 = 202,956.60/x
  3. Step 3: Cross multiply
    382,841.40x = 574,002.90 × 202,956.60
  4. Step 4: Simplify right side
    382,841.40x = 116,497,676,974.14
  5. Step 5: Solve for x
    x = 116,497,676,974.14/382,841.40
  6. Step 6: Final answer
    x = 304,297.49

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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.