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Finding the Fourth Proportional to 358,105.80, 494,020.34 and 214,616.73

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Solution

The fourth proportional to 358,105.80, 494,020.34 and 214,616.73 is: 296,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,105.80 : 494,020.34 = 214,616.73 : x
  2. Step 2: Convert to fraction form
    358,105.80/494,020.34 = 214,616.73/x
  3. Step 3: Cross multiply
    358,105.80x = 494,020.34 × 214,616.73
  4. Step 4: Simplify right side
    358,105.80x = 106,025,029,387.75
  5. Step 5: Solve for x
    x = 106,025,029,387.75/358,105.80
  6. Step 6: Final answer
    x = 296,071.80

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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.