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Finding the Fourth Proportional to 379,057.61, 523,095.48 and 206,975.04

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Solution

The fourth proportional to 379,057.61, 523,095.48 and 206,975.04 is: 285,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,057.61 : 523,095.48 = 206,975.04 : x
  2. Step 2: Convert to fraction form
    379,057.61/523,095.48 = 206,975.04/x
  3. Step 3: Cross multiply
    379,057.61x = 523,095.48 × 206,975.04
  4. Step 4: Simplify right side
    379,057.61x = 108,267,707,896.82
  5. Step 5: Solve for x
    x = 108,267,707,896.82/379,057.61
  6. Step 6: Final answer
    x = 285,623.36

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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.