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Finding the Fourth Proportional to 381,002.46, 525,789.32 and 208,936.14

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Solution

The fourth proportional to 381,002.46, 525,789.32 and 208,936.14 is: 288,335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,002.46 : 525,789.32 = 208,936.14 : x
  2. Step 2: Convert to fraction form
    381,002.46/525,789.32 = 208,936.14/x
  3. Step 3: Cross multiply
    381,002.46x = 525,789.32 × 208,936.14
  4. Step 4: Simplify right side
    381,002.46x = 109,856,391,496.37
  5. Step 5: Solve for x
    x = 109,856,391,496.37/381,002.46
  6. Step 6: Final answer
    x = 288,335.12

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