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Finding the Fourth Proportional to 364,821.48, 547,229.34 and 196,420.68

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Solution

The fourth proportional to 364,821.48, 547,229.34 and 196,420.68 is: 294,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,821.48 : 547,229.34 = 196,420.68 : x
  2. Step 2: Convert to fraction form
    364,821.48/547,229.34 = 196,420.68/x
  3. Step 3: Cross multiply
    364,821.48x = 547,229.34 × 196,420.68
  4. Step 4: Simplify right side
    364,821.48x = 107,487,159,078.75
  5. Step 5: Solve for x
    x = 107,487,159,078.75/364,821.48
  6. Step 6: Final answer
    x = 294,629.47

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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.