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Finding the Fourth Proportional to 447,408.84, 617,450.78 and 256,434.57

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Solution

The fourth proportional to 447,408.84, 617,450.78 and 256,434.57 is: 353,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,408.84 : 617,450.78 = 256,434.57 : x
  2. Step 2: Convert to fraction form
    447,408.84/617,450.78 = 256,434.57/x
  3. Step 3: Cross multiply
    447,408.84x = 617,450.78 × 256,434.57
  4. Step 4: Simplify right side
    447,408.84x = 158,335,723,983.29
  5. Step 5: Solve for x
    x = 158,335,723,983.29/447,408.84
  6. Step 6: Final answer
    x = 353,894.94

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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.