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Finding the Fourth Proportional to 413,012.43, 619,525.49 and 113,491.16

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Solution

The fourth proportional to 413,012.43, 619,525.49 and 113,491.16 is: 170,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,012.43 : 619,525.49 = 113,491.16 : x
  2. Step 2: Convert to fraction form
    413,012.43/619,525.49 = 113,491.16/x
  3. Step 3: Cross multiply
    413,012.43x = 619,525.49 × 113,491.16
  4. Step 4: Simplify right side
    413,012.43x = 70,310,667,491.03
  5. Step 5: Solve for x
    x = 70,310,667,491.03/413,012.43
  6. Step 6: Final answer
    x = 170,238.62

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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.