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Finding the Fourth Proportional to 381,924.23, 573,010.71 and 182,218.78

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Solution

The fourth proportional to 381,924.23, 573,010.71 and 182,218.78 is: 273,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,924.23 : 573,010.71 = 182,218.78 : x
  2. Step 2: Convert to fraction form
    381,924.23/573,010.71 = 182,218.78/x
  3. Step 3: Cross multiply
    381,924.23x = 573,010.71 × 182,218.78
  4. Step 4: Simplify right side
    381,924.23x = 104,413,312,536.08
  5. Step 5: Solve for x
    x = 104,413,312,536.08/381,924.23
  6. Step 6: Final answer
    x = 273,387.51

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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.