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Finding the Fourth Proportional to 393,296.80, 590,252.40 and 182,960.80

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Solution

The fourth proportional to 393,296.80, 590,252.40 and 182,960.80 is: 274,584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,296.80 : 590,252.40 = 182,960.80 : x
  2. Step 2: Convert to fraction form
    393,296.80/590,252.40 = 182,960.80/x
  3. Step 3: Cross multiply
    393,296.80x = 590,252.40 × 182,960.80
  4. Step 4: Simplify right side
    393,296.80x = 107,993,051,305.92
  5. Step 5: Solve for x
    x = 107,993,051,305.92/393,296.80
  6. Step 6: Final answer
    x = 274,584.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.