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Finding the Fourth Proportional to 447,405.28, 617,401.11 and 256,285.78

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Solution

The fourth proportional to 447,405.28, 617,401.11 and 256,285.78 is: 353,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,405.28 : 617,401.11 = 256,285.78 : x
  2. Step 2: Convert to fraction form
    447,405.28/617,401.11 = 256,285.78/x
  3. Step 3: Cross multiply
    447,405.28x = 617,401.11 × 256,285.78
  4. Step 4: Simplify right side
    447,405.28x = 158,231,125,049.22
  5. Step 5: Solve for x
    x = 158,231,125,049.22/447,405.28
  6. Step 6: Final answer
    x = 353,663.96

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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.