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Finding the Fourth Proportional to 447,408.09, 617,449.74 and 256,433.82

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Solution

The fourth proportional to 447,408.09, 617,449.74 and 256,433.82 is: 353,893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,408.09 : 617,449.74 = 256,433.82 : x
  2. Step 2: Convert to fraction form
    447,408.09/617,449.74 = 256,433.82/x
  3. Step 3: Cross multiply
    447,408.09x = 617,449.74 × 256,433.82
  4. Step 4: Simplify right side
    447,408.09x = 158,334,995,486.21
  5. Step 5: Solve for x
    x = 158,334,995,486.21/447,408.09
  6. Step 6: Final answer
    x = 353,893.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.