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Finding the Fourth Proportional to 447,408.72, 617,450.64 and 256,434.38

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Solution

The fourth proportional to 447,408.72, 617,450.64 and 256,434.38 is: 353,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,408.72 : 617,450.64 = 256,434.38 : x
  2. Step 2: Convert to fraction form
    447,408.72/617,450.64 = 256,434.38/x
  3. Step 3: Cross multiply
    447,408.72x = 617,450.64 × 256,434.38
  4. Step 4: Simplify right side
    447,408.72x = 158,335,572,049.00
  5. Step 5: Solve for x
    x = 158,335,572,049.00/447,408.72
  6. Step 6: Final answer
    x = 353,894.69

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1.5x scale

Why These Related Problems?

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