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Finding the Fourth Proportional to 512,896.20, 769,344.30 and 488,401.80

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Solution

The fourth proportional to 512,896.20, 769,344.30 and 488,401.80 is: 732,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,896.20 : 769,344.30 = 488,401.80 : x
  2. Step 2: Convert to fraction form
    512,896.20/769,344.30 = 488,401.80/x
  3. Step 3: Cross multiply
    512,896.20x = 769,344.30 × 488,401.80
  4. Step 4: Simplify right side
    512,896.20x = 375,749,140,939.74
  5. Step 5: Solve for x
    x = 375,749,140,939.74/512,896.20
  6. Step 6: Final answer
    x = 732,602.70

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Similar ratio
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1.5x scale

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.