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Finding the Fourth Proportional to 381,767.63, 572,398.70 and 182,118.83

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Solution

The fourth proportional to 381,767.63, 572,398.70 and 182,118.83 is: 273,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,767.63 : 572,398.70 = 182,118.83 : x
  2. Step 2: Convert to fraction form
    381,767.63/572,398.70 = 182,118.83/x
  3. Step 3: Cross multiply
    381,767.63x = 572,398.70 × 182,118.83
  4. Step 4: Simplify right side
    381,767.63x = 104,244,577,764.93
  5. Step 5: Solve for x
    x = 104,244,577,764.93/381,767.63
  6. Step 6: Final answer
    x = 273,057.67

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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.