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Finding the Fourth Proportional to 413,635.14, 620,488.45 and 114,115.72

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Solution

The fourth proportional to 413,635.14, 620,488.45 and 114,115.72 is: 171,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,635.14 : 620,488.45 = 114,115.72 : x
  2. Step 2: Convert to fraction form
    413,635.14/620,488.45 = 114,115.72/x
  3. Step 3: Cross multiply
    413,635.14x = 620,488.45 × 114,115.72
  4. Step 4: Simplify right side
    413,635.14x = 70,807,486,223.43
  5. Step 5: Solve for x
    x = 70,807,486,223.43/413,635.14
  6. Step 6: Final answer
    x = 171,183.44

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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.