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Finding the Fourth Proportional to 381,768.63, 572,400.19 and 182,119.83

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Solution

The fourth proportional to 381,768.63, 572,400.19 and 182,119.83 is: 273,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,768.63 : 572,400.19 = 182,119.83 : x
  2. Step 2: Convert to fraction form
    381,768.63/572,400.19 = 182,119.83/x
  3. Step 3: Cross multiply
    381,768.63x = 572,400.19 × 182,119.83
  4. Step 4: Simplify right side
    381,768.63x = 104,245,425,294.77
  5. Step 5: Solve for x
    x = 104,245,425,294.77/381,768.63
  6. Step 6: Final answer
    x = 273,059.17

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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.