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Finding the Fourth Proportional to 357,122.38, 492,834.88 and 195,992.42

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Solution

The fourth proportional to 357,122.38, 492,834.88 and 195,992.42 is: 270,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,122.38 : 492,834.88 = 195,992.42 : x
  2. Step 2: Convert to fraction form
    357,122.38/492,834.88 = 195,992.42/x
  3. Step 3: Cross multiply
    357,122.38x = 492,834.88 × 195,992.42
  4. Step 4: Simplify right side
    357,122.38x = 96,591,898,327.44
  5. Step 5: Solve for x
    x = 96,591,898,327.44/357,122.38
  6. Step 6: Final answer
    x = 270,472.83

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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.