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Finding the Fourth Proportional to 322,861.84, 484,293.20 and 154,342.56

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Solution

The fourth proportional to 322,861.84, 484,293.20 and 154,342.56 is: 231,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,861.84 : 484,293.20 = 154,342.56 : x
  2. Step 2: Convert to fraction form
    322,861.84/484,293.20 = 154,342.56/x
  3. Step 3: Cross multiply
    322,861.84x = 484,293.20 × 154,342.56
  4. Step 4: Simplify right side
    322,861.84x = 74,747,052,278.59
  5. Step 5: Solve for x
    x = 74,747,052,278.59/322,861.84
  6. Step 6: Final answer
    x = 231,514.05

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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.