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Finding the Fourth Proportional to 381,326.42, 571,617.56 and 181,593.02

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Solution

The fourth proportional to 381,326.42, 571,617.56 and 181,593.02 is: 272,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,326.42 : 571,617.56 = 181,593.02 : x
  2. Step 2: Convert to fraction form
    381,326.42/571,617.56 = 181,593.02/x
  3. Step 3: Cross multiply
    381,326.42x = 571,617.56 × 181,593.02
  4. Step 4: Simplify right side
    381,326.42x = 103,801,759,005.43
  5. Step 5: Solve for x
    x = 103,801,759,005.43/381,326.42
  6. Step 6: Final answer
    x = 272,212.35

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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.