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Finding the Fourth Proportional to 512,411.10, 768,616.65 and 475,086.30

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Solution

The fourth proportional to 512,411.10, 768,616.65 and 475,086.30 is: 712,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,411.10 : 768,616.65 = 475,086.30 : x
  2. Step 2: Convert to fraction form
    512,411.10/768,616.65 = 475,086.30/x
  3. Step 3: Cross multiply
    512,411.10x = 768,616.65 × 475,086.30
  4. Step 4: Simplify right side
    512,411.10x = 365,159,240,366.90
  5. Step 5: Solve for x
    x = 365,159,240,366.90/512,411.10
  6. Step 6: Final answer
    x = 712,629.45

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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.