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Finding the Fourth Proportional to 512,769.20, 768,635.40 and 232,487.60

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Solution

The fourth proportional to 512,769.20, 768,635.40 and 232,487.60 is: 348,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,769.20 : 768,635.40 = 232,487.60 : x
  2. Step 2: Convert to fraction form
    512,769.20/768,635.40 = 232,487.60/x
  3. Step 3: Cross multiply
    512,769.20x = 768,635.40 × 232,487.60
  4. Step 4: Simplify right side
    512,769.20x = 178,698,199,421.04
  5. Step 5: Solve for x
    x = 178,698,199,421.04/512,769.20
  6. Step 6: Final answer
    x = 348,496.36

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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.