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Finding the Fourth Proportional to 364,615.21, 546,920.52 and 196,214.86

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Solution

The fourth proportional to 364,615.21, 546,920.52 and 196,214.86 is: 294,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,615.21 : 546,920.52 = 196,214.86 : x
  2. Step 2: Convert to fraction form
    364,615.21/546,920.52 = 196,214.86/x
  3. Step 3: Cross multiply
    364,615.21x = 546,920.52 × 196,214.86
  4. Step 4: Simplify right side
    364,615.21x = 107,313,933,262.93
  5. Step 5: Solve for x
    x = 107,313,933,262.93/364,615.21
  6. Step 6: Final answer
    x = 294,321.05

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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.