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Finding the Fourth Proportional to 381,172, 571,758 and 261,110.56

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Solution

The fourth proportional to 381,172, 571,758 and 261,110.56 is: 391,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,172 : 571,758 = 261,110.56 : x
  2. Step 2: Convert to fraction form
    381,172/571,758 = 261,110.56/x
  3. Step 3: Cross multiply
    381,172x = 571,758 × 261,110.56
  4. Step 4: Simplify right side
    381,172x = 149,292,051,564.48
  5. Step 5: Solve for x
    x = 149,292,051,564.48/381,172
  6. Step 6: Final answer
    x = 391,665.84

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Why These Related Problems?

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