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Finding the Fourth Proportional to 509,983.30, 764,974.95 and 307,029.70

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Solution

The fourth proportional to 509,983.30, 764,974.95 and 307,029.70 is: 460,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,983.30 : 764,974.95 = 307,029.70 : x
  2. Step 2: Convert to fraction form
    509,983.30/764,974.95 = 307,029.70/x
  3. Step 3: Cross multiply
    509,983.30x = 764,974.95 × 307,029.70
  4. Step 4: Simplify right side
    509,983.30x = 234,870,029,406.02
  5. Step 5: Solve for x
    x = 234,870,029,406.02/509,983.30
  6. Step 6: Final answer
    x = 460,544.55

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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.