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Finding the Fourth Proportional to 364,824.48, 547,233.84 and 196,423.68

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Solution

The fourth proportional to 364,824.48, 547,233.84 and 196,423.68 is: 294,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,824.48 : 547,233.84 = 196,423.68 : x
  2. Step 2: Convert to fraction form
    364,824.48/547,233.84 = 196,423.68/x
  3. Step 3: Cross multiply
    364,824.48x = 547,233.84 × 196,423.68
  4. Step 4: Simplify right side
    364,824.48x = 107,489,684,673.33
  5. Step 5: Solve for x
    x = 107,489,684,673.33/364,824.48
  6. Step 6: Final answer
    x = 294,633.97

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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.