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Finding the Fourth Proportional to 378,123.38, 521,821.40 and 208,368.44

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Solution

The fourth proportional to 378,123.38, 521,821.40 and 208,368.44 is: 287,554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,123.38 : 521,821.40 = 208,368.44 : x
  2. Step 2: Convert to fraction form
    378,123.38/521,821.40 = 208,368.44/x
  3. Step 3: Cross multiply
    378,123.38x = 521,821.40 × 208,368.44
  4. Step 4: Simplify right side
    378,123.38x = 108,731,107,425.67
  5. Step 5: Solve for x
    x = 108,731,107,425.67/378,123.38
  6. Step 6: Final answer
    x = 287,554.58

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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.