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Finding the Fourth Proportional to 500,022, 690,025.08 and 270,574.26

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Solution

The fourth proportional to 500,022, 690,025.08 and 270,574.26 is: 373,389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,022 : 690,025.08 = 270,574.26 : x
  2. Step 2: Convert to fraction form
    500,022/690,025.08 = 270,574.26/x
  3. Step 3: Cross multiply
    500,022x = 690,025.08 × 270,574.26
  4. Step 4: Simplify right side
    500,022x = 186,703,025,402.44
  5. Step 5: Solve for x
    x = 186,703,025,402.44/500,022
  6. Step 6: Final answer
    x = 373,389.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.