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Finding the Fourth Proportional to 413,167.62, 619,754.17 and 113,679.84

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Solution

The fourth proportional to 413,167.62, 619,754.17 and 113,679.84 is: 170,520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,167.62 : 619,754.17 = 113,679.84 : x
  2. Step 2: Convert to fraction form
    413,167.62/619,754.17 = 113,679.84/x
  3. Step 3: Cross multiply
    413,167.62x = 619,754.17 × 113,679.84
  4. Step 4: Simplify right side
    413,167.62x = 70,453,554,884.93
  5. Step 5: Solve for x
    x = 70,453,554,884.93/413,167.62
  6. Step 6: Final answer
    x = 170,520.51

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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.