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Finding the Fourth Proportional to 512,295.59, 768,480.29 and 196,752.50

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Solution

The fourth proportional to 512,295.59, 768,480.29 and 196,752.50 is: 295,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,295.59 : 768,480.29 = 196,752.50 : x
  2. Step 2: Convert to fraction form
    512,295.59/768,480.29 = 196,752.50/x
  3. Step 3: Cross multiply
    512,295.59x = 768,480.29 × 196,752.50
  4. Step 4: Simplify right side
    512,295.59x = 151,200,418,258.23
  5. Step 5: Solve for x
    x = 151,200,418,258.23/512,295.59
  6. Step 6: Final answer
    x = 295,142.92

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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.