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Finding the Fourth Proportional to 413,578.20, 620,367.30 and 133,095.45

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Solution

The fourth proportional to 413,578.20, 620,367.30 and 133,095.45 is: 199,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,578.20 : 620,367.30 = 133,095.45 : x
  2. Step 2: Convert to fraction form
    413,578.20/620,367.30 = 133,095.45/x
  3. Step 3: Cross multiply
    413,578.20x = 620,367.30 × 133,095.45
  4. Step 4: Simplify right side
    413,578.20x = 82,568,064,958.79
  5. Step 5: Solve for x
    x = 82,568,064,958.79/413,578.20
  6. Step 6: Final answer
    x = 199,643.18

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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.