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Finding the Fourth Proportional to 512,903.40, 768,707.10 and 196,938.60

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Solution

The fourth proportional to 512,903.40, 768,707.10 and 196,938.60 is: 295,159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,903.40 : 768,707.10 = 196,938.60 : x
  2. Step 2: Convert to fraction form
    512,903.40/768,707.10 = 196,938.60/x
  3. Step 3: Cross multiply
    512,903.40x = 768,707.10 × 196,938.60
  4. Step 4: Simplify right side
    512,903.40x = 151,388,100,084.06
  5. Step 5: Solve for x
    x = 151,388,100,084.06/512,903.40
  6. Step 6: Final answer
    x = 295,159.09

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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.