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Finding the Fourth Proportional to 304,899.38, 420,524.21 and 208,181.03

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Solution

The fourth proportional to 304,899.38, 420,524.21 and 208,181.03 is: 287,128.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,899.38 : 420,524.21 = 208,181.03 : x
  2. Step 2: Convert to fraction form
    304,899.38/420,524.21 = 208,181.03/x
  3. Step 3: Cross multiply
    304,899.38x = 420,524.21 × 208,181.03
  4. Step 4: Simplify right side
    304,899.38x = 87,545,160,034.21
  5. Step 5: Solve for x
    x = 87,545,160,034.21/304,899.38
  6. Step 6: Final answer
    x = 287,128.04

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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.