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Finding the Fourth Proportional to 325,274.09, 488,469.50 and 199,652

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Solution

The fourth proportional to 325,274.09, 488,469.50 and 199,652 is: 299,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,274.09 : 488,469.50 = 199,652 : x
  2. Step 2: Convert to fraction form
    325,274.09/488,469.50 = 199,652/x
  3. Step 3: Cross multiply
    325,274.09x = 488,469.50 × 199,652
  4. Step 4: Simplify right side
    325,274.09x = 97,523,911,615.74
  5. Step 5: Solve for x
    x = 97,523,911,615.74/325,274.09
  6. Step 6: Final answer
    x = 299,820.72

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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.