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Finding the Fourth Proportional to 413,634.39, 620,487.33 and 114,114.97

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Solution

The fourth proportional to 413,634.39, 620,487.33 and 114,114.97 is: 171,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,634.39 : 620,487.33 = 114,114.97 : x
  2. Step 2: Convert to fraction form
    413,634.39/620,487.33 = 114,114.97/x
  3. Step 3: Cross multiply
    413,634.39x = 620,487.33 × 114,114.97
  4. Step 4: Simplify right side
    413,634.39x = 70,806,892,763.04
  5. Step 5: Solve for x
    x = 70,806,892,763.04/413,634.39
  6. Step 6: Final answer
    x = 171,182.32

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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.