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Finding the Fourth Proportional to 381,111.86, 524,614.38 and 329,405.42

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Solution

The fourth proportional to 381,111.86, 524,614.38 and 329,405.42 is: 453,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,111.86 : 524,614.38 = 329,405.42 : x
  2. Step 2: Convert to fraction form
    381,111.86/524,614.38 = 329,405.42/x
  3. Step 3: Cross multiply
    381,111.86x = 524,614.38 × 329,405.42
  4. Step 4: Simplify right side
    381,111.86x = 172,810,820,181.94
  5. Step 5: Solve for x
    x = 172,810,820,181.94/381,111.86
  6. Step 6: Final answer
    x = 453,438.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.