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Finding the Fourth Proportional to 408,049.53, 612,074.29 and 404,112.93

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Solution

The fourth proportional to 408,049.53, 612,074.29 and 404,112.93 is: 606,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,049.53 : 612,074.29 = 404,112.93 : x
  2. Step 2: Convert to fraction form
    408,049.53/612,074.29 = 404,112.93/x
  3. Step 3: Cross multiply
    408,049.53x = 612,074.29 × 404,112.93
  4. Step 4: Simplify right side
    408,049.53x = 247,347,134,709.57
  5. Step 5: Solve for x
    x = 247,347,134,709.57/408,049.53
  6. Step 6: Final answer
    x = 606,169.39

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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.