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Finding the Fourth Proportional to 322,363.76, 444,835.94 and 186,406.49

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Solution

The fourth proportional to 322,363.76, 444,835.94 and 186,406.49 is: 257,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,363.76 : 444,835.94 = 186,406.49 : x
  2. Step 2: Convert to fraction form
    322,363.76/444,835.94 = 186,406.49/x
  3. Step 3: Cross multiply
    322,363.76x = 444,835.94 × 186,406.49
  4. Step 4: Simplify right side
    322,363.76x = 82,920,306,381.31
  5. Step 5: Solve for x
    x = 82,920,306,381.31/322,363.76
  6. Step 6: Final answer
    x = 257,225.90

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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.