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Finding the Fourth Proportional to 509,098.20, 763,647.30 and 485,770.20

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Solution

The fourth proportional to 509,098.20, 763,647.30 and 485,770.20 is: 728,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,098.20 : 763,647.30 = 485,770.20 : x
  2. Step 2: Convert to fraction form
    509,098.20/763,647.30 = 485,770.20/x
  3. Step 3: Cross multiply
    509,098.20x = 763,647.30 × 485,770.20
  4. Step 4: Simplify right side
    509,098.20x = 370,957,101,650.46
  5. Step 5: Solve for x
    x = 370,957,101,650.46/509,098.20
  6. Step 6: Final answer
    x = 728,655.30

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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.