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Finding the Fourth Proportional to 322,605, 445,194.90 and 181,293

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Solution

The fourth proportional to 322,605, 445,194.90 and 181,293 is: 250,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,605 : 445,194.90 = 181,293 : x
  2. Step 2: Convert to fraction form
    322,605/445,194.90 = 181,293/x
  3. Step 3: Cross multiply
    322,605x = 445,194.90 × 181,293
  4. Step 4: Simplify right side
    322,605x = 80,710,719,005.70
  5. Step 5: Solve for x
    x = 80,710,719,005.70/322,605
  6. Step 6: Final answer
    x = 250,184.34

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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.