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Finding the Fourth Proportional to 298,558.62, 411,992.19 and 164,422.62

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Solution

The fourth proportional to 298,558.62, 411,992.19 and 164,422.62 is: 226,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,558.62 : 411,992.19 = 164,422.62 : x
  2. Step 2: Convert to fraction form
    298,558.62/411,992.19 = 164,422.62/x
  3. Step 3: Cross multiply
    298,558.62x = 411,992.19 × 164,422.62
  4. Step 4: Simplify right side
    298,558.62x = 67,740,835,299.34
  5. Step 5: Solve for x
    x = 67,740,835,299.34/298,558.62
  6. Step 6: Final answer
    x = 226,892.91

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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.