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Finding the Fourth Proportional to 509,114.20, 763,671.30 and 485,786.20

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Solution

The fourth proportional to 509,114.20, 763,671.30 and 485,786.20 is: 728,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,114.20 : 763,671.30 = 485,786.20 : x
  2. Step 2: Convert to fraction form
    509,114.20/763,671.30 = 485,786.20/x
  3. Step 3: Cross multiply
    509,114.20x = 763,671.30 × 485,786.20
  4. Step 4: Simplify right side
    509,114.20x = 370,980,978,876.06
  5. Step 5: Solve for x
    x = 370,980,978,876.06/509,114.20
  6. Step 6: Final answer
    x = 728,679.30

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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.