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Finding the Fourth Proportional to 256,021.29, 384,072.03 and 208,522.08

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Solution

The fourth proportional to 256,021.29, 384,072.03 and 208,522.08 is: 312,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,021.29 : 384,072.03 = 208,522.08 : x
  2. Step 2: Convert to fraction form
    256,021.29/384,072.03 = 208,522.08/x
  3. Step 3: Cross multiply
    256,021.29x = 384,072.03 × 208,522.08
  4. Step 4: Simplify right side
    256,021.29x = 80,087,498,565.42
  5. Step 5: Solve for x
    x = 80,087,498,565.42/256,021.29
  6. Step 6: Final answer
    x = 312,815.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.