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Finding the Fourth Proportional to 303,022, 454,598.61 and 116,033.50

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Solution

The fourth proportional to 303,022, 454,598.61 and 116,033.50 is: 174,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,022 : 454,598.61 = 116,033.50 : x
  2. Step 2: Convert to fraction form
    303,022/454,598.61 = 116,033.50/x
  3. Step 3: Cross multiply
    303,022x = 454,598.61 × 116,033.50
  4. Step 4: Simplify right side
    303,022x = 52,748,667,813.44
  5. Step 5: Solve for x
    x = 52,748,667,813.44/303,022
  6. Step 6: Final answer
    x = 174,075.37

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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.