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Finding the Fourth Proportional to 381,614.72, 572,613.24 and 181,884.92

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Solution

The fourth proportional to 381,614.72, 572,613.24 and 181,884.92 is: 272,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,614.72 : 572,613.24 = 181,884.92 : x
  2. Step 2: Convert to fraction form
    381,614.72/572,613.24 = 181,884.92/x
  3. Step 3: Cross multiply
    381,614.72x = 572,613.24 × 181,884.92
  4. Step 4: Simplify right side
    381,614.72x = 104,149,713,348.34
  5. Step 5: Solve for x
    x = 104,149,713,348.34/381,614.72
  6. Step 6: Final answer
    x = 272,918.49

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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.