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Finding the Fourth Proportional to 393,633.70, 590,446.67 and 180,341.10

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Solution

The fourth proportional to 393,633.70, 590,446.67 and 180,341.10 is: 270,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,633.70 : 590,446.67 = 180,341.10 : x
  2. Step 2: Convert to fraction form
    393,633.70/590,446.67 = 180,341.10/x
  3. Step 3: Cross multiply
    393,633.70x = 590,446.67 × 180,341.10
  4. Step 4: Simplify right side
    393,633.70x = 106,481,801,057.43
  5. Step 5: Solve for x
    x = 106,481,801,057.43/393,633.70
  6. Step 6: Final answer
    x = 270,509.87

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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.