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Finding the Fourth Proportional to 509,660.87, 765,022.41 and 498,224.48

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Solution

The fourth proportional to 509,660.87, 765,022.41 and 498,224.48 is: 747,855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,660.87 : 765,022.41 = 498,224.48 : x
  2. Step 2: Convert to fraction form
    509,660.87/765,022.41 = 498,224.48/x
  3. Step 3: Cross multiply
    509,660.87x = 765,022.41 × 498,224.48
  4. Step 4: Simplify right side
    509,660.87x = 381,152,888,585.49
  5. Step 5: Solve for x
    x = 381,152,888,585.49/509,660.87
  6. Step 6: Final answer
    x = 747,855.91

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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.