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Finding the Fourth Proportional to 512,487.20, 768,730.80 and 400,512.80

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Solution

The fourth proportional to 512,487.20, 768,730.80 and 400,512.80 is: 600,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,487.20 : 768,730.80 = 400,512.80 : x
  2. Step 2: Convert to fraction form
    512,487.20/768,730.80 = 400,512.80/x
  3. Step 3: Cross multiply
    512,487.20x = 768,730.80 × 400,512.80
  4. Step 4: Simplify right side
    512,487.20x = 307,886,525,154.24
  5. Step 5: Solve for x
    x = 307,886,525,154.24/512,487.20
  6. Step 6: Final answer
    x = 600,769.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.