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Finding the Fourth Proportional to 408,049.35, 612,074.03 and 405,716.55

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Solution

The fourth proportional to 408,049.35, 612,074.03 and 405,716.55 is: 608,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,049.35 : 612,074.03 = 405,716.55 : x
  2. Step 2: Convert to fraction form
    408,049.35/612,074.03 = 405,716.55/x
  3. Step 3: Cross multiply
    408,049.35x = 612,074.03 × 405,716.55
  4. Step 4: Simplify right side
    408,049.35x = 248,328,561,767.61
  5. Step 5: Solve for x
    x = 248,328,561,767.61/408,049.35
  6. Step 6: Final answer
    x = 608,574.83

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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.