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Finding the Fourth Proportional to 413,161.88, 619,745.54 and 113,674.10

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Solution

The fourth proportional to 413,161.88, 619,745.54 and 113,674.10 is: 170,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,161.88 : 619,745.54 = 113,674.10 : x
  2. Step 2: Convert to fraction form
    413,161.88/619,745.54 = 113,674.10/x
  3. Step 3: Cross multiply
    413,161.88x = 619,745.54 × 113,674.10
  4. Step 4: Simplify right side
    413,161.88x = 70,449,016,488.51
  5. Step 5: Solve for x
    x = 70,449,016,488.51/413,161.88
  6. Step 6: Final answer
    x = 170,511.90

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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.