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Finding the Fourth Proportional to 381,884.61, 571,954.34 and 182,344.76

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Solution

The fourth proportional to 381,884.61, 571,954.34 and 182,344.76 is: 273,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,884.61 : 571,954.34 = 182,344.76 : x
  2. Step 2: Convert to fraction form
    381,884.61/571,954.34 = 182,344.76/x
  3. Step 3: Cross multiply
    381,884.61x = 571,954.34 × 182,344.76
  4. Step 4: Simplify right side
    381,884.61x = 104,292,875,397.22
  5. Step 5: Solve for x
    x = 104,292,875,397.22/381,884.61
  6. Step 6: Final answer
    x = 273,100.49

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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.