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Finding the Fourth Proportional to 512,891.55, 769,328.81 and 197,416.80

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Solution

The fourth proportional to 512,891.55, 769,328.81 and 197,416.80 is: 296,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,891.55 : 769,328.81 = 197,416.80 : x
  2. Step 2: Convert to fraction form
    512,891.55/769,328.81 = 197,416.80/x
  3. Step 3: Cross multiply
    512,891.55x = 769,328.81 × 197,416.80
  4. Step 4: Simplify right side
    512,891.55x = 151,878,430,830.92
  5. Step 5: Solve for x
    x = 151,878,430,830.92/512,891.55
  6. Step 6: Final answer
    x = 296,121.92

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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.