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Finding the Fourth Proportional to 344,960, 476,044.68 and 194,057

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Solution

The fourth proportional to 344,960, 476,044.68 and 194,057 is: 267,798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,960 : 476,044.68 = 194,057 : x
  2. Step 2: Convert to fraction form
    344,960/476,044.68 = 194,057/x
  3. Step 3: Cross multiply
    344,960x = 476,044.68 × 194,057
  4. Step 4: Simplify right side
    344,960x = 92,379,802,466.76
  5. Step 5: Solve for x
    x = 92,379,802,466.76/344,960
  6. Step 6: Final answer
    x = 267,798.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.