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Finding the Fourth Proportional to 298,238.92, 411,434.10 and 177,311.60

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Solution

The fourth proportional to 298,238.92, 411,434.10 and 177,311.60 is: 244,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,238.92 : 411,434.10 = 177,311.60 : x
  2. Step 2: Convert to fraction form
    298,238.92/411,434.10 = 177,311.60/x
  3. Step 3: Cross multiply
    298,238.92x = 411,434.10 × 177,311.60
  4. Step 4: Simplify right side
    298,238.92x = 72,952,038,565.56
  5. Step 5: Solve for x
    x = 72,952,038,565.56/298,238.92
  6. Step 6: Final answer
    x = 244,609.38

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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.