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Finding the Fourth Proportional to 447,234.21, 617,200.56 and 256,285.42

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Solution

The fourth proportional to 447,234.21, 617,200.56 and 256,285.42 is: 353,683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,234.21 : 617,200.56 = 256,285.42 : x
  2. Step 2: Convert to fraction form
    447,234.21/617,200.56 = 256,285.42/x
  3. Step 3: Cross multiply
    447,234.21x = 617,200.56 × 256,285.42
  4. Step 4: Simplify right side
    447,234.21x = 158,179,503,200.83
  5. Step 5: Solve for x
    x = 158,179,503,200.83/447,234.21
  6. Step 6: Final answer
    x = 353,683.82

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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.